4540457057664 has 256 divisors, whose sum is σ = 13690501493760. Its totient is φ = 1321210675200.

The previous prime is 4540457057651. The next prime is 4540457057761. The reversal of 4540457057664 is 4667507540454.

It is a super-2 number, since 2×4540457057664² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10306224 + ... + 10737744.

It is an arithmetic number, because the mean of its divisors is an integer number (53478521460).

Almost surely, 2^{4540457057664} is an apocalyptic number.

4540457057664 is a gapful number since it is divisible by the number (44) 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 4540457057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845250746880).

4540457057664 is an abundant number, since it is smaller than the sum of its proper divisors (9150044436096).

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

4540457057664 is a wasteful number, since it uses less digits than its factorization.

4540457057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431649 (or 431637 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 57.

The spelling of 4540457057664 in words is "four trillion, five hundred forty billion, four hundred fifty-seven million, fifty-seven thousand, six hundred sixty-four".