6401956108416 has 128 divisors (see below), whose sum is σ = 19052504976960. Its totient is φ = 1887554580480.

The previous prime is 6401956108391. The next prime is 6401956108433. The reversal of 6401956108416 is 6148016591046.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 20324991 + ... + 20637566.

Almost surely, 2^{6401956108416} is an apocalyptic number.

6401956108416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6401956108416 is an abundant number, since it is smaller than the sum of its proper divisors (12650548868544).

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

6401956108416 is a wasteful number, since it uses less digits than its factorization.

6401956108416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40962622 (or 40962610 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 6401956108416 in words is "six trillion, four hundred one billion, nine hundred fifty-six million, one hundred eight thousand, four hundred sixteen".