4101897270240 has 2592 divisors, whose sum is σ = 19415873498112. Its totient is φ = 800343244800.

The previous prime is 4101897270227. The next prime is 4101897270241. The reversal of 4101897270240 is 420727981014.

4101897270240 is a `hidden beast` number, since 41 + 0 + 18 + 97 + 270 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×4101897270240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101897270241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9517162825 + ... + 9517163255.

It is an arithmetic number, because the mean of its divisors is an integer number (7490691936).

Almost surely, 2^{4101897270240} is an apocalyptic number.

4101897270240 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 4101897270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707936749056).

4101897270240 is an abundant number, since it is smaller than the sum of its proper divisors (15313976227872).

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

4101897270240 is a wasteful number, since it uses less digits than its factorization.

4101897270240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 4101897270240 in words is "four trillion, one hundred one billion, eight hundred ninety-seven million, two hundred seventy thousand, two hundred forty".