4979251267200 has 576 divisors, whose sum is σ = 21197825395200. Its totient is φ = 1138113607680.

The previous prime is 4979251267163. The next prime is 4979251267241. The reversal of 4979251267200 is 27621529794.

4979251267200 is a `hidden beast` number, since 4 + 97 + 92 + 5 + 1 + 267 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3645537 + ... + 4821663.

It is an arithmetic number, because the mean of its divisors is an integer number (36801780200).

Almost surely, 2^{4979251267200} is an apocalyptic number.

4979251267200 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 4979251267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598912697600).

4979251267200 is an abundant number, since it is smaller than the sum of its proper divisors (16218574128000).

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

4979251267200 is a wasteful number, since it uses less digits than its factorization.

4979251267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176174 (or 1176144 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 4979251267200 in words is "four trillion, nine hundred seventy-nine billion, two hundred fifty-one million, two hundred sixty-seven thousand, two hundred".