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402197027040 = 253253710770549
BaseRepresentation
bin1011101101001001100…
…11111001100011100000
31102110010210122220111200
411312210303321203200
523042144414331130
6504433342041200
741025550215444
oct5664463714340
91373123586450
10402197027040
11145630811326
1265b46b79200
132bc0886b743
1415675ca8824
15a6de729760
hex5da4cf98e0

402197027040 has 288 divisors, whose sum is σ = 1422785800800. Its totient is φ = 103377088512.

The previous prime is 402197027009. The next prime is 402197027047. The reversal of 402197027040 is 40720791204.

402197027040 is a `hidden beast` number, since 402 + 197 + 0 + 27 + 0 + 40 = 666.

402197027040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 402197026986 and 402197027004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402197027047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5665686 + ... + 5736234.

It is an arithmetic number, because the mean of its divisors is an integer number (4940228475).

Almost surely, 2402197027040 is an apocalyptic number.

402197027040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402197027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711392900400).

402197027040 is an abundant number, since it is smaller than the sum of its proper divisors (1020588773760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402197027040 is a wasteful number, since it uses less digits than its factorization.

402197027040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70714 (or 70703 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 402197027040 in words is "four hundred two billion, one hundred ninety-seven million, twenty-seven thousand, forty".