921406401792 has 432 divisors, whose sum is σ = 2975636297088. Its totient is φ = 272693329920.

The previous prime is 921406401757. The next prime is 921406401803. The reversal of 921406401792 is 297104604129.

It is a super-2 number, since 2×921406401792² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65756067 + ... + 65770077.

It is an arithmetic number, because the mean of its divisors is an integer number (6888046984).

Almost surely, 2^921406401792 is an apocalyptic number.

921406401792 is a gapful number since it is divisible by the number (92) 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 921406401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487818148544).

921406401792 is an abundant number, since it is smaller than the sum of its proper divisors (2054229895296).

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

921406401792 is a wasteful number, since it uses less digits than its factorization.

921406401792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14146 (or 14129 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 921406401792 in words is "nine hundred twenty-one billion, four hundred six million, four hundred one thousand, seven hundred ninety-two".