4756805222400 has 3840 divisors, whose sum is σ = 23598891360000. Its totient is φ = 936404582400.

The previous prime is 4756805222291. The next prime is 4756805222461. The reversal of 4756805222400 is 42225086574.

4756805222400 is a `hidden beast` number, since 4 + 7 + 5 + 6 + 80 + 522 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 250358169591 + ... + 250358169609.

It is an arithmetic number, because the mean of its divisors is an integer number (6145544625).

Almost surely, 2^{4756805222400} is an apocalyptic number.

4756805222400 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 4756805222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799445680000).

4756805222400 is an abundant number, since it is smaller than the sum of its proper divisors (18842086137600).

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

4756805222400 is an equidigital number, since it uses as much as digits as its factorization.

4756805222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 4756805222400 in words is "four trillion, seven hundred fifty-six billion, eight hundred five million, two hundred twenty-two thousand, four hundred".