40396578120 has 256 divisors, whose sum is σ = 136745280000. Its totient is φ = 10606464000.

The previous prime is 40396578097. The next prime is 40396578179. The reversal of 40396578120 is 2187569304.

40396578120 is a `hidden beast` number, since 40 + 39 + 6 + 578 + 1 + 2 + 0 = 666.

It is a Cunningham number, because it is equal to 200989²-1.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21705990 + ... + 21707850.

It is an arithmetic number, because the mean of its divisors is an integer number (534161250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅40396578120 = 80793156240, but 3⋅40396578120 = 121189734360 is not.

Almost surely, 2^40396578120 is an apocalyptic number.

40396578120 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 40396578120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68372640000).

40396578120 is an abundant number, since it is smaller than the sum of its proper divisors (96348701880).

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

40396578120 is a wasteful number, since it uses less digits than its factorization.

40396578120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40396578120 in words is "forty billion, three hundred ninety-six million, five hundred seventy-eight thousand, one hundred twenty".