4959279072000 has 1728 divisors, whose sum is σ = 20939722352640. Its totient is φ = 1114103808000.

The previous prime is 4959279071983. The next prime is 4959279072023. The reversal of 4959279072000 is 2709729594.

4959279072000 is a `hidden beast` number, since 49 + 592 + 7 + 9 + 0 + 7 + 2 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2829023124 + ... + 2829024876.

It is an arithmetic number, because the mean of its divisors is an integer number (12117894880).

Almost surely, 2^{4959279072000} is an apocalyptic number.

4959279072000 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 4959279072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10469861176320).

4959279072000 is an abundant number, since it is smaller than the sum of its proper divisors (15980443280640).

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

4959279072000 is a wasteful number, since it uses less digits than its factorization.

4959279072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 4959279072000 in words is "four trillion, nine hundred fifty-nine billion, two hundred seventy-nine million, seventy-two thousand".