40007685024 has 96 divisors (see below), whose sum is σ = 116903787840. Its totient is φ = 13311357696.

The previous prime is 40007685013. The next prime is 40007685031. The reversal of 40007685024 is 42058670004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40007685024² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40007685024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430282 + ... + 514934.

It is an arithmetic number, because the mean of its divisors is an integer number (1217747790).

Almost surely, 2^40007685024 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 40007685024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58451893920).

40007685024 is an abundant number, since it is smaller than the sum of its proper divisors (76896102816).

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

40007685024 is a wasteful number, since it uses less digits than its factorization.

40007685024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85219 (or 85205 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40007685024 in words is "forty billion, seven million, six hundred eighty-five thousand, twenty-four".