10400100240 has 40 divisors (see below), whose sum is σ = 32240311488. Its totient is φ = 2773360000.

The previous prime is 10400100229. The next prime is 10400100257. The reversal of 10400100240 is 4200100401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21666636 + ... + 21667115.

Almost surely, 2^10400100240 is an apocalyptic number.

10400100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400100240 is an abundant number, since it is smaller than the sum of its proper divisors (21840211248).

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

10400100240 is a wasteful number, since it uses less digits than its factorization.

10400100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43333767 (or 43333761 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10400100240 its reverse (4200100401), we get a palindrome (14600200641).

The spelling of 10400100240 in words is "ten billion, four hundred million, one hundred thousand, two hundred forty".