10400042610 has 48 divisors (see below), whose sum is σ = 27045412056. Its totient is φ = 2772801024.

The previous prime is 10400042603. The next prime is 10400042623. The reversal of 10400042610 is 1624000401.

10400042610 is a `hidden beast` number, since 1 + 0 + 400 + 0 + 4 + 261 + 0 = 666.

10400042610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10392375249 + 7667361 = 101943^2 + 2769^2 .

It is a super-2 number, since 2×10400042610² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690682 + ... + 705578.

Almost surely, 2^10400042610 is an apocalyptic number.

10400042610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400042610 is an abundant number, since it is smaller than the sum of its proper divisors (16645369446).

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

10400042610 is a wasteful number, since it uses less digits than its factorization.

10400042610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22667 (or 22664 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10400042610 in words is "ten billion, four hundred million, forty-two thousand, six hundred ten".