4464600464000 has 64 divisors (see below), whose sum is σ = 11100112943400. Its totient is φ = 1785840179200.

The previous prime is 4464600463997. The next prime is 4464600464057. The reversal of 4464600464000 is 4640064644.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1548511449664 + 2916089014336 = 1244392^2 + 1707656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139502765 + ... + 139534764.

Almost surely, 2^{4464600464000} is an apocalyptic number.

4464600464000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4464600464000 is an abundant number, since it is smaller than the sum of its proper divisors (6635512479400).

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

4464600464000 is an equidigital number, since it uses as much as digits as its factorization.

4464600464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279037558 (or 279037536 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 4464600464000 in words is "four trillion, four hundred sixty-four billion, six hundred million, four hundred sixty-four thousand".