40730713920 has 280 divisors, whose sum is σ = 156032706984. Its totient is φ = 10025938944.

The previous prime is 40730713873. The next prime is 40730713939. The reversal of 40730713920 is 2931703704.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 40729697856 = 1008^2 + 201816^2 .

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 39 ways as a sum of consecutive naturals, for example, 276522 + ... + 397398.

Almost surely, 2^40730713920 is an apocalyptic number.

40730713920 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 40730713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78016353492).

40730713920 is an abundant number, since it is smaller than the sum of its proper divisors (115301993064).

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

40730713920 is a wasteful number, since it uses less digits than its factorization.

40730713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120919 (or 120900 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 40730713920 in words is "forty billion, seven hundred thirty million, seven hundred thirteen thousand, nine hundred twenty".