10840775400 has 576 divisors, whose sum is σ = 46237219200. Its totient is φ = 2285936640.

The previous prime is 10840775381. The next prime is 10840775431. The reversal of 10840775400 is 457704801.

10840775400 is a `hidden beast` number, since 1 + 0 + 8 + 40 + 77 + 540 + 0 = 666.

It is a super-2 number, since 2×10840775400² (a number of 21 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 6387352 + ... + 6389048.

It is an arithmetic number, because the mean of its divisors is an integer number (80272950).

Almost surely, 2^10840775400 is an apocalyptic number.

10840775400 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 10840775400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23118609600).

10840775400 is an abundant number, since it is smaller than the sum of its proper divisors (35396443800).

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

10840775400 is a wasteful number, since it uses less digits than its factorization.

10840775400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 10840775400 in words is "ten billion, eight hundred forty million, seven hundred seventy-five thousand, four hundred".