4811976606400 has 168 divisors, whose sum is σ = 12204094646880. Its totient is φ = 1866568704000.

The previous prime is 4811976606383. The next prime is 4811976606421. The reversal of 4811976606400 is 46066791184.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6582396 + ... + 7276804.

Almost surely, 2^{4811976606400} is an apocalyptic number.

4811976606400 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 4811976606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102047323440).

4811976606400 is an abundant number, since it is smaller than the sum of its proper divisors (7392118040480).

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

4811976606400 is a wasteful number, since it uses less digits than its factorization.

4811976606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694563 (or 694548 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 4811976606400 in words is "four trillion, eight hundred eleven billion, nine hundred seventy-six million, six hundred six thousand, four hundred".