40320873360 has 560 divisors, whose sum is σ = 151292745216. Its totient is φ = 9952284672.

The previous prime is 40320873353. The next prime is 40320873361. The reversal of 40320873360 is 6337802304.

40320873360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40320873361) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 66426177 + ... + 66426783.

Almost surely, 2^40320873360 is an apocalyptic number.

40320873360 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 40320873360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75646372608).

40320873360 is an abundant number, since it is smaller than the sum of its proper divisors (110971871856).

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

40320873360 is a wasteful number, since it uses less digits than its factorization.

40320873360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 40320873360 in words is "forty billion, three hundred twenty million, eight hundred seventy-three thousand, three hundred sixty".