4901927025600 has 1512 divisors, whose sum is σ = 20550281104080. Its totient is φ = 1147049164800.

The previous prime is 4901927025581. The next prime is 4901927025683. The reversal of 4901927025600 is 65207291094.

4901927025600 is a `hidden beast` number, since 4 + 9 + 0 + 19 + 2 + 7 + 0 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1364297404 + ... + 1364300996.

Almost surely, 2^{4901927025600} is an apocalyptic number.

4901927025600 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 4901927025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10275140552040).

4901927025600 is an abundant number, since it is smaller than the sum of its proper divisors (15648354078480).

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

4901927025600 is a wasteful number, since it uses less digits than its factorization.

4901927025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 4901927025600 in words is "four trillion, nine hundred one billion, nine hundred twenty-seven million, twenty-five thousand, six hundred".