40907746080 has 144 divisors (see below), whose sum is σ = 140405461560. Its totient is φ = 10845609984.

The previous prime is 40907746079. The next prime is 40907746093. The reversal of 40907746080 is 8064770904.

40907746080 is a `hidden beast` number, since 40 + 9 + 0 + 77 + 460 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33845696784 + 7062049296 = 183972^2 + 84036^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167016 + ... + 331224.

Almost surely, 2^40907746080 is an apocalyptic number.

40907746080 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 40907746080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70202730780).

40907746080 is an abundant number, since it is smaller than the sum of its proper divisors (99497715480).

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

40907746080 is a wasteful number, since it uses less digits than its factorization.

40907746080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164403 (or 164392 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40907746080 in words is "forty billion, nine hundred seven million, seven hundred forty-six thousand, eighty".