4715096938272 has 720 divisors, whose sum is σ = 16454833117632. Its totient is φ = 1327822917120.

The previous prime is 4715096938249. The next prime is 4715096938351. The reversal of 4715096938272 is 2728396905174.

4715096938272 is a `hidden beast` number, since 4 + 71 + 509 + 6 + 9 + 38 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1325580718 + ... + 1325584274.

It is a 1-persistent number, because it is pandigital, but 2⋅4715096938272 = 9430193876544 is not.

Almost surely, 2^{4715096938272} is an apocalyptic number.

4715096938272 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 4715096938272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8227416558816).

4715096938272 is an abundant number, since it is smaller than the sum of its proper divisors (11739736179360).

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

4715096938272 is an frugal number, since it uses more digits than its factorization.

4715096938272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4715096938272 in words is "four trillion, seven hundred fifteen billion, ninety-six million, nine hundred thirty-eight thousand, two hundred seventy-two".