40691733264 has 480 divisors, whose sum is σ = 151396560000. Its totient is φ = 10359788544.

The previous prime is 40691733233. The next prime is 40691733289. The reversal of 40691733264 is 46233719604.

40691733264 is a `hidden beast` number, since 406 + 91 + 73 + 32 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7977787 + ... + 7982885.

It is an arithmetic number, because the mean of its divisors is an integer number (315409500).

Almost surely, 2^40691733264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40691733264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75698280000).

40691733264 is an abundant number, since it is smaller than the sum of its proper divisors (110704826736).

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

40691733264 is a wasteful number, since it uses less digits than its factorization.

40691733264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 40691733264 in words is "forty billion, six hundred ninety-one million, seven hundred thirty-three thousand, two hundred sixty-four".