40745903688 has 224 divisors, whose sum is σ = 138611986560. Its totient is φ = 10956695040.

The previous prime is 40745903677. The next prime is 40745903699. The reversal of 40745903688 is 88630954704.

40745903688 is a `hidden beast` number, since 40 + 7 + 4 + 590 + 3 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (40745903677) and next prime (40745903699).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 664653 + ... + 723363.

Almost surely, 2^40745903688 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 40745903688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69305993280).

40745903688 is an abundant number, since it is smaller than the sum of its proper divisors (97866082872).

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

40745903688 is a wasteful number, since it uses less digits than its factorization.

40745903688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58759 (or 58740 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40745903688 in words is "forty billion, seven hundred forty-five million, nine hundred three thousand, six hundred eighty-eight".