901962406400 has 960 divisors, whose sum is σ = 2722467179520. Its totient is φ = 292287283200.

The previous prime is 901962406391. The next prime is 901962406417. The reversal of 901962406400 is 4604269109.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6583667132 + ... + 6583667268.

It is an arithmetic number, because the mean of its divisors is an integer number (2835903312).

Almost surely, 2^901962406400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901962406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361233589760).

901962406400 is an abundant number, since it is smaller than the sum of its proper divisors (1820504773120).

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

901962406400 is a wasteful number, since it uses less digits than its factorization.

901962406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 901962406400 in words is "nine hundred one billion, nine hundred sixty-two million, four hundred six thousand, four hundred".