4957381336320 has 2592 divisors, whose sum is σ = 21755771856000. Its totient is φ = 1076530839552.

The previous prime is 4957381336247. The next prime is 4957381336321. The reversal of 4957381336320 is 236331837594.

4957381336320 is a `hidden beast` number, since 4 + 9 + 573 + 8 + 1 + 3 + 3 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×4957381336320² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4957381336321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33271015606 + ... + 33271015754.

It is an arithmetic number, because the mean of its divisors is an integer number (8393430500).

It is a 1-persistent number, because it is pandigital, but 2⋅4957381336320 = 9914762672640 is not.

Almost surely, 2^{4957381336320} is an apocalyptic number.

4957381336320 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 4957381336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877885928000).

4957381336320 is an abundant number, since it is smaller than the sum of its proper divisors (16798390519680).

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

4957381336320 is a wasteful number, since it uses less digits than its factorization.

4957381336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 4957381336320 in words is "four trillion, nine hundred fifty-seven billion, three hundred eighty-one million, three hundred thirty-six thousand, three hundred twenty".