4974025113600 has 600 divisors, whose sum is σ = 16975857731520. Its totient is φ = 1284463656960.

The previous prime is 4974025113583. The next prime is 4974025113619. The reversal of 4974025113600 is 63115204794.

It is a tau number, because it is divible by the number of its divisors (600).

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, 74239180767 + ... + 74239180833.

Almost surely, 2^{4974025113600} is an apocalyptic number.

4974025113600 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 4974025113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487928865760).

4974025113600 is an abundant number, since it is smaller than the sum of its proper divisors (12001832617920).

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

4974025113600 is an frugal number, since it uses more digits than its factorization.

4974025113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 4974025113600 in words is "four trillion, nine hundred seventy-four billion, twenty-five million, one hundred thirteen thousand, six hundred".