10942790400 has 324 divisors, whose sum is σ = 40478190480. Its totient is φ = 2817024000.

The previous prime is 10942790387. The next prime is 10942790413. The reversal of 10942790400 is 409724901.

10942790400 is a `hidden beast` number, since 109 + 427 + 90 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10942790387) and next prime (10942790413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1667125 + ... + 1673675.

Almost surely, 2^10942790400 is an apocalyptic number.

10942790400 is a gapful number since it is divisible by the number (10) 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 10942790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20239095240).

10942790400 is an abundant number, since it is smaller than the sum of its proper divisors (29535400080).

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

10942790400 is a wasteful number, since it uses less digits than its factorization.

10942790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10942790400 in words is "ten billion, nine hundred forty-two million, seven hundred ninety thousand, four hundred".