4959975384000 has 3360 divisors, whose sum is σ = 23937155738496. Its totient is φ = 987166310400.

The previous prime is 4959975383959. The next prime is 4959975384029. The reversal of 4959975384000 is 4835799594.

4959975384000 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 97 + 538 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21287447884 + ... + 21287448116.

Almost surely, 2^{4959975384000} is an apocalyptic number.

4959975384000 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 4959975384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11968577869248).

4959975384000 is an abundant number, since it is smaller than the sum of its proper divisors (18977180354496).

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

4959975384000 is a wasteful number, since it uses less digits than its factorization.

4959975384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 4959975384000 in words is "four trillion, nine hundred fifty-nine billion, nine hundred seventy-five million, three hundred eighty-four thousand".