4662624440400 has 120 divisors (see below), whose sum is σ = 15089919433344. Its totient is φ = 1230548275200.

The previous prime is 4662624440399. The next prime is 4662624440413. The reversal of 4662624440400 is 40444262664.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 19912056 + ... + 20144855.

Almost surely, 2^{4662624440400} is an apocalyptic number.

4662624440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4662624440400 is an abundant number, since it is smaller than the sum of its proper divisors (10427294992944).

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

4662624440400 is a wasteful number, since it uses less digits than its factorization.

4662624440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40057029 (or 40057018 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 4662624440400 in words is "four trillion, six hundred sixty-two billion, six hundred twenty-four million, four hundred forty thousand, four hundred".