16400041960 has 64 divisors (see below), whose sum is σ = 37322208000. Its totient is φ = 6485356800.

The previous prime is 16400041939. The next prime is 16400041979. The reversal of 16400041960 is 6914000461.

16400041960 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 2×16400041960² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1414266 + ... + 1425814.

It is an arithmetic number, because the mean of its divisors is an integer number (583159500).

Almost surely, 2^16400041960 is an apocalyptic number.

16400041960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16400041960 is an abundant number, since it is smaller than the sum of its proper divisors (20922166040).

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

16400041960 is a wasteful number, since it uses less digits than its factorization.

16400041960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11962 (or 11958 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 16400041960 in words is "sixteen billion, four hundred million, forty-one thousand, nine hundred sixty".