4756448822400 has 1920 divisors, whose sum is σ = 20467125645120. Its totient is φ = 1083912192000.

The previous prime is 4756448822393. The next prime is 4756448822401. The reversal of 4756448822400 is 42288446574.

It is a happy number.

4756448822400 is a `hidden beast` number, since 47 + 5 + 64 + 488 + 22 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×4756448822400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4756448822401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5864917995 + ... + 5864918805.

Almost surely, 2^{4756448822400} is an apocalyptic number.

4756448822400 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 4756448822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10233562822560).

4756448822400 is an abundant number, since it is smaller than the sum of its proper divisors (15710676822720).

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

4756448822400 is a wasteful number, since it uses less digits than its factorization.

4756448822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 4756448822400 in words is "four trillion, seven hundred fifty-six billion, four hundred forty-eight million, eight hundred twenty-two thousand, four hundred".