40480464618360 has 1152 divisors, whose sum is σ = 153754747922880. Its totient is φ = 9198309998592.

The previous prime is 40480464618301. The next prime is 40480464618401. The reversal of 40480464618360 is 6381646408404.

It is a happy number.

40480464618360 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 0 + 46 + 461 + 83 + 60 = 666.

40480464618360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40480464618297 and 40480464618306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17809266184 + ... + 17809268456.

Almost surely, 2^{40480464618360} is an apocalyptic number.

40480464618360 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 40480464618360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76877373961440).

40480464618360 is an abundant number, since it is smaller than the sum of its proper divisors (113274283304520).

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

40480464618360 is a wasteful number, since it uses less digits than its factorization.

40480464618360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 40480464618360 in words is "forty trillion, four hundred eighty billion, four hundred sixty-four million, six hundred eighteen thousand, three hundred sixty".