16400431410 has 64 divisors (see below), whose sum is σ = 42951527424. Its totient is φ = 3974731200.

The previous prime is 16400431349. The next prime is 16400431433. The reversal of 16400431410 is 1413400461.

16400431410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16400431410² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 2156715 + ... + 2164305.

It is an arithmetic number, because the mean of its divisors is an integer number (671117616).

Almost surely, 2^16400431410 is an apocalyptic number.

16400431410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16400431410 is an abundant number, since it is smaller than the sum of its proper divisors (26551096014).

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

16400431410 is a wasteful number, since it uses less digits than its factorization.

16400431410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14159.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 16400431410 its reverse (1413400461), we get a palindrome (17813831871).

The spelling of 16400431410 in words is "sixteen billion, four hundred million, four hundred thirty-one thousand, four hundred ten".