40882172640 has 96 divisors (see below), whose sum is σ = 129124660896. Its totient is φ = 10872637440.

The previous prime is 40882172633. The next prime is 40882172659. The reversal of 40882172640 is 4627128804.

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

It is a junction number, because it is equal to n+sod(n) for n = 40882172592 and 40882172601.

It is a congruent number.

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, 64870 + ... + 293210.

It is an arithmetic number, because the mean of its divisors is an integer number (1345048551).

Almost surely, 2^40882172640 is an apocalyptic number.

40882172640 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 40882172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64562330448).

40882172640 is an abundant number, since it is smaller than the sum of its proper divisors (88242488256).

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

40882172640 is a wasteful number, since it uses less digits than its factorization.

40882172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228732 (or 228724 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 40882172640 in words is "forty billion, eight hundred eighty-two million, one hundred seventy-two thousand, six hundred forty".