4972701888000 has 3840 divisors, whose sum is σ = 24626088115200. Its totient is φ = 975421440000.

The previous prime is 4972701887983. The next prime is 4972701888061. The reversal of 4972701888000 is 8881072794.

It is a happy number.

4972701888000 is a `hidden beast` number, since 497 + 2 + 70 + 1 + 8 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17696447860 + ... + 17696448140.

It is an arithmetic number, because the mean of its divisors is an integer number (6413043780).

Almost surely, 2^{4972701888000} is an apocalyptic number.

4972701888000 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 4972701888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12313044057600).

4972701888000 is an abundant number, since it is smaller than the sum of its proper divisors (19653386227200).

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

4972701888000 is a wasteful number, since it uses less digits than its factorization.

4972701888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 4972701888000 in words is "four trillion, nine hundred seventy-two billion, seven hundred one million, eight hundred eighty-eight thousand".