40607023680 has 280 divisors, whose sum is σ = 145561141440. Its totient is φ = 10744980480.

The previous prime is 40607023663. The next prime is 40607023697. The reversal of 40607023680 is 8632070604.

40607023680 is a `hidden beast` number, since 40 + 607 + 0 + 2 + 3 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40607023663) and next prime (40607023697).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3389541 + ... + 3401499.

Almost surely, 2^40607023680 is an apocalyptic number.

40607023680 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 40607023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72780570720).

40607023680 is an abundant number, since it is smaller than the sum of its proper divisors (104954117760).

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

40607023680 is a wasteful number, since it uses less digits than its factorization.

40607023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12119 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40607023680 in words is "forty billion, six hundred seven million, twenty-three thousand, six hundred eighty".