4785261251328 has 432 divisors, whose sum is σ = 14302963584000. Its totient is φ = 1538006925312.

The previous prime is 4785261251273. The next prime is 4785261251333. The reversal of 4785261251328 is 8231521625874.

It is a happy number.

4785261251328 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 2 + 61 + 251 + 328 = 666.

It is a super-2 number, since 2×4785261251328² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344550413 + ... + 1344553971.

It is an arithmetic number, because the mean of its divisors is an integer number (33108712000).

Almost surely, 2^{4785261251328} is an apocalyptic number.

4785261251328 is a gapful number since it is divisible by the number (48) 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 4785261251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151481792000).

4785261251328 is an abundant number, since it is smaller than the sum of its proper divisors (9517702332672).

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

4785261251328 is a wasteful number, since it uses less digits than its factorization.

4785261251328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3815 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 4785261251328 in words is "four trillion, seven hundred eighty-five billion, two hundred sixty-one million, two hundred fifty-one thousand, three hundred twenty-eight".