40704168960 has 1056 divisors, whose sum is σ = 184119167232. Its totient is φ = 8068792320.

The previous prime is 40704168949. The next prime is 40704168961. The reversal of 40704168960 is 6986140704.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40704168961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71285475 + ... + 71286045.

It is an arithmetic number, because the mean of its divisors is an integer number (174355272).

Almost surely, 2^40704168960 is an apocalyptic number.

40704168960 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 40704168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92059583616).

40704168960 is an abundant number, since it is smaller than the sum of its proper divisors (143414998272).

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

40704168960 is a wasteful number, since it uses less digits than its factorization.

40704168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40704168960 in words is "forty billion, seven hundred four million, one hundred sixty-eight thousand, nine hundred sixty".