4045757482080 has 576 divisors, whose sum is σ = 15529022308800. Its totient is φ = 953126092800.

The previous prime is 4045757482057. The next prime is 4045757482103. The reversal of 4045757482080 is 802847575404.

4045757482080 is a `hidden beast` number, since 4 + 0 + 4 + 575 + 7 + 48 + 20 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4045757482057) and next prime (4045757482103).

It is a super-2 number, since 2×4045757482080² (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 95 ways as a sum of consecutive naturals, for example, 50658180 + ... + 50737980.

It is an arithmetic number, because the mean of its divisors is an integer number (26960108175).

Almost surely, 2^{4045757482080} is an apocalyptic number.

4045757482080 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 4045757482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764511154400).

4045757482080 is an abundant number, since it is smaller than the sum of its proper divisors (11483264826720).

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

4045757482080 is a wasteful number, since it uses less digits than its factorization.

4045757482080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79967 (or 79956 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 4045757482080 in words is "four trillion, forty-five billion, seven hundred fifty-seven million, four hundred eighty-two thousand, eighty".