4464604316400 has 240 divisors, whose sum is σ = 14853474316800. Its totient is φ = 1145479546880.

The previous prime is 4464604316399. The next prime is 4464604316429. The reversal of 4464604316400 is 46134064644.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4464604316400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2656756 + ... + 3998444.

It is an arithmetic number, because the mean of its divisors is an integer number (61889476320).

Almost surely, 2^{4464604316400} is an apocalyptic number.

4464604316400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4464604316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426737158400).

4464604316400 is an abundant number, since it is smaller than the sum of its proper divisors (10388870000400).

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

4464604316400 is a wasteful number, since it uses less digits than its factorization.

4464604316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341816 (or 1341805 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 4464604316400 in words is "four trillion, four hundred sixty-four billion, six hundred four million, three hundred sixteen thousand, four hundred".