40915782180 has 576 divisors, whose sum is σ = 165870028800. Its totient is φ = 8175997440.

The previous prime is 40915782169. The next prime is 40915782181. The reversal of 40915782180 is 8128751904.

40915782180 is a `hidden beast` number, since 409 + 157 + 82 + 18 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40915782181) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12135895 + ... + 12139265.

It is an arithmetic number, because the mean of its divisors is an integer number (287968800).

Almost surely, 2^40915782180 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 40915782180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82935014400).

40915782180 is an abundant number, since it is smaller than the sum of its proper divisors (124954246620).

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

40915782180 is a wasteful number, since it uses less digits than its factorization.

40915782180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 40915782180 in words is "forty billion, nine hundred fifteen million, seven hundred eighty-two thousand, one hundred eighty".