4971961516032 has 480 divisors, whose sum is σ = 17179869168000. Its totient is φ = 1420560433152.

The previous prime is 4971961516019. The next prime is 4971961516037. The reversal of 4971961516032 is 2306151691794.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4971961516032 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 9 + 615 + 16 + 0 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4971961516032.

It is not an unprimeable number, because it can be changed into a prime (4971961516037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710280216573 + ... + 710280216579.

It is an arithmetic number, because the mean of its divisors is an integer number (35791394100).

Almost surely, 2^{4971961516032} is an apocalyptic number.

4971961516032 is a gapful number since it is divisible by the number (42) 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 4971961516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8589934584000).

4971961516032 is an abundant number, since it is smaller than the sum of its proper divisors (12207907651968).

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

4971961516032 is an frugal number, since it uses more digits than its factorization.

4971961516032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

Multiplying 4971961516032 by its sum of digits (54), we get a cube (268485921865728 = 64512³).

The spelling of 4971961516032 in words is "four trillion, nine hundred seventy-one billion, nine hundred sixty-one million, five hundred sixteen thousand, thirty-two".