4751776870400 has 312 divisors, whose sum is σ = 13490761788960. Its totient is φ = 1626215546880.

The previous prime is 4751776870391. The next prime is 4751776870439. The reversal of 4751776870400 is 40786771574.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413587856 + ... + 413599344.

Almost surely, 2^{4751776870400} is an apocalyptic number.

4751776870400 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 4751776870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745380894480).

4751776870400 is an abundant number, since it is smaller than the sum of its proper divisors (8738984918560).

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

4751776870400 is a wasteful number, since it uses less digits than its factorization.

4751776870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12107 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 56.

The spelling of 4751776870400 in words is "four trillion, seven hundred fifty-one billion, seven hundred seventy-six million, eight hundred seventy thousand, four hundred".