420201375390720 has 12672 divisors, whose sum is σ = 2219318364856320. Its totient is φ = 74912366592000.

The previous prime is 420201375390677. The next prime is 420201375390721. The reversal of 420201375390720 is 27093573102024.

420201375390720 is a `hidden beast` number, since 4 + 2 + 0 + 201 + 37 + 5 + 390 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (12672).

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 (420201375390721) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 10248814033900 + ... + 10248814033940.

Almost surely, 2^{420201375390720} is an apocalyptic number.

420201375390720 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 420201375390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109659182428160).

420201375390720 is an abundant number, since it is smaller than the sum of its proper divisors (1799116989465600).

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

420201375390720 is a wasteful number, since it uses less digits than its factorization.

420201375390720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 420201375390720 in words is "four hundred twenty trillion, two hundred one billion, three hundred seventy-five million, three hundred ninety thousand, seven hundred twenty".