4414646660400 has 90 divisors (see below), whose sum is σ = 15320050214820. Its totient is φ = 1177239108480.

The previous prime is 4414646660363. The next prime is 4414646660447. The reversal of 4414646660400 is 40666464144.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 613141770 + ... + 613148969.

Almost surely, 2^{4414646660400} is an apocalyptic number.

4414646660400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4414646660400 is an abundant number, since it is smaller than the sum of its proper divisors (10905403554420).

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

4414646660400 is a wasteful number, since it uses less digits than its factorization.

4414646660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226290763 (or 1226290749 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 4414646660400 in words is "four trillion, four hundred fourteen billion, six hundred forty-six million, six hundred sixty thousand, four hundred".