10400906992 has 80 divisors (see below), whose sum is σ = 23886616000. Its totient is φ = 4384316160.

The previous prime is 10400906987. The next prime is 10400906993. The reversal of 10400906992 is 29960900401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400906993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319234 + ... + 350302.

It is an arithmetic number, because the mean of its divisors is an integer number (298582700).

Almost surely, 2^10400906992 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 10400906992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943308000).

10400906992 is an abundant number, since it is smaller than the sum of its proper divisors (13485709008).

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

10400906992 is an equidigital number, since it uses as much as digits as its factorization.

10400906992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31159 (or 31139 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 10400906992 in words is "ten billion, four hundred million, nine hundred six thousand, nine hundred ninety-two".