4861494979200 has 384 divisors, whose sum is σ = 18728133912000. Its totient is φ = 1228166737920.

The previous prime is 4861494979199. The next prime is 4861494979207. The reversal of 4861494979200 is 29794941684.

4861494979200 is a `hidden beast` number, since 4 + 8 + 614 + 9 + 4 + 9 + 7 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4861494979207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160882 + ... + 3122318.

Almost surely, 2^{4861494979200} is an apocalyptic number.

4861494979200 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 4861494979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9364066956000).

4861494979200 is an abundant number, since it is smaller than the sum of its proper divisors (13866638932800).

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

4861494979200 is a wasteful number, since it uses less digits than its factorization.

4861494979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961489 (or 2961466 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 4861494979200 in words is "four trillion, eight hundred sixty-one billion, four hundred ninety-four million, nine hundred seventy-nine thousand, two hundred".