40757480960 has 320 divisors, whose sum is σ = 118901996928. Its totient is φ = 13079937024.

The previous prime is 40757480837. The next prime is 40757481007. The reversal of 40757480960 is 6908475704.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×40757480960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40757480899 and 40757480908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102663482 + ... + 102663878.

Almost surely, 2^40757480960 is an apocalyptic number.

40757480960 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 40757480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59450998464).

40757480960 is an abundant number, since it is smaller than the sum of its proper divisors (78144515968).

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

40757480960 is a wasteful number, since it uses less digits than its factorization.

40757480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 40757480960 in words is "forty billion, seven hundred fifty-seven million, four hundred eighty thousand, nine hundred sixty".