16400414227967 has 48 divisors (see below), whose sum is σ = 21486500536320. Its totient is φ = 12365726788800.

The previous prime is 16400414227829. The next prime is 16400414227969. The reversal of 16400414227967 is 76972241400461.

It is a de Polignac number, because none of the positive numbers 2^k-16400414227967 is a prime.

It is a super-4 number, since 4×16400414227967⁴ (a number of 54 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16400414227969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140781938 + ... + 140898384.

It is an arithmetic number, because the mean of its divisors is an integer number (447635427840).

Almost surely, 2^{16400414227967} is an apocalyptic number.

16400414227967 is a deficient number, since it is larger than the sum of its proper divisors (5086086308353).

16400414227967 is a wasteful number, since it uses less digits than its factorization.

16400414227967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124932 (or 124925 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 16400414227967 in words is "sixteen trillion, four hundred billion, four hundred fourteen million, two hundred twenty-seven thousand, nine hundred sixty-seven".