10040811840 has 280 divisors, whose sum is σ = 36395817480. Its totient is φ = 2626670592.

The previous prime is 10040811827. The next prime is 10040811857. The reversal of 10040811840 is 4811804001.

10040811840 is a `hidden beast` number, since 100 + 408 + 118 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1573867584 + 8466944256 = 39672^2 + 92016^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1370106 + ... + 1377414.

Almost surely, 2^10040811840 is an apocalyptic number.

10040811840 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 10040811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18197908740).

10040811840 is an abundant number, since it is smaller than the sum of its proper divisors (26355005640).

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

10040811840 is an equidigital number, since it uses as much as digits as its factorization.

10040811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7391 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 10040811840 in words is "ten billion, forty million, eight hundred eleven thousand, eight hundred forty".