4715494963200 has 1440 divisors, whose sum is σ = 20133111398400. Its totient is φ = 1068504514560.

The previous prime is 4715494963199. The next prime is 4715494963241. The reversal of 4715494963200 is 23694945174.

4715494963200 is a `hidden beast` number, since 4 + 7 + 1 + 549 + 4 + 96 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 3686860161 + ... + 3686861439.

It is an arithmetic number, because the mean of its divisors is an integer number (13981327360).

Almost surely, 2^{4715494963200} is an apocalyptic number.

4715494963200 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 4715494963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066555699200).

4715494963200 is an abundant number, since it is smaller than the sum of its proper divisors (15417616435200).

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

4715494963200 is a wasteful number, since it uses less digits than its factorization.

4715494963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4715494963200 in words is "four trillion, seven hundred fifteen billion, four hundred ninety-four million, nine hundred sixty-three thousand, two hundred".