40712730624 has 240 divisors, whose sum is σ = 128016088200. Its totient is φ = 12855656448.

The previous prime is 40712730613. The next prime is 40712730631. The reversal of 40712730624 is 42603721704.

40712730624 is a `hidden beast` number, since 4 + 0 + 7 + 1 + 27 + 3 + 0 + 624 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3145414 + ... + 3158330.

Almost surely, 2^40712730624 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 40712730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008044100).

40712730624 is an abundant number, since it is smaller than the sum of its proper divisors (87303357576).

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

40712730624 is a wasteful number, since it uses less digits than its factorization.

40712730624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12970 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 40712730624 in words is "forty billion, seven hundred twelve million, seven hundred thirty thousand, six hundred twenty-four".