10400514040 has 64 divisors (see below), whose sum is σ = 26989617600. Its totient is φ = 3533165568.

The previous prime is 10400514029. The next prime is 10400514077. The reversal of 10400514040 is 4041500401.

It is a junction number, because it is equal to n+sod(n) for n = 10400513999 and 10400514017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139869 + ... + 200908.

It is an arithmetic number, because the mean of its divisors is an integer number (421712775).

Almost surely, 2^10400514040 is an apocalyptic number.

10400514040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400514040 is an abundant number, since it is smaller than the sum of its proper divisors (16589103560).

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

10400514040 is a wasteful number, since it uses less digits than its factorization.

10400514040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340904 (or 340900 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The spelling of 10400514040 in words is "ten billion, four hundred million, five hundred fourteen thousand, forty".