4002464462304 has 96 divisors (see below), whose sum is σ = 13098974628096. Its totient is φ = 1039601157120.

The previous prime is 4002464462281. The next prime is 4002464462351. The reversal of 4002464462304 is 4032644642004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270722077 + ... + 270736860.

It is an arithmetic number, because the mean of its divisors is an integer number (136447652376).

Almost surely, 2^{4002464462304} is an apocalyptic number.

4002464462304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4002464462304 is an abundant number, since it is smaller than the sum of its proper divisors (9096510165792).

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

4002464462304 is a wasteful number, since it uses less digits than its factorization.

4002464462304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541458968 (or 541458960 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

The spelling of 4002464462304 in words is "four trillion, two billion, four hundred sixty-four million, four hundred sixty-two thousand, three hundred four".