40974011680 has 192 divisors, whose sum is σ = 115025702400. Its totient is φ = 13782193152.

The previous prime is 40974011669. The next prime is 40974011681. The reversal of 40974011680 is 8611047904.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (40974011681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2901597 + ... + 2915683.

It is an arithmetic number, because the mean of its divisors is an integer number (599092200).

Almost surely, 2^40974011680 is an apocalyptic number.

40974011680 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 40974011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57512851200).

40974011680 is an abundant number, since it is smaller than the sum of its proper divisors (74051690720).

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

40974011680 is a wasteful number, since it uses less digits than its factorization.

40974011680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14176 (or 14154 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 40974011680 in words is "forty billion, nine hundred seventy-four million, eleven thousand, six hundred eighty".