40396176144 has 105 divisors (see below), whose sum is σ = 117410795589. Its totient is φ = 13458156480.

The previous prime is 40396176137. The next prime is 40396176157. The reversal of 40396176144 is 44167169304.

The square root of 40396176144 is 200988.

It is a perfect power (a square), and thus also a powerful number.

40396176144 is a `hidden beast` number, since 403 + 96 + 17 + 6 + 144 = 666.

40396176144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43401744 + 40352774400 = 6588^2 + 200880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40396176144.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 21705774 + ... + 21707634.

Almost surely, 2^40396176144 is an apocalyptic number.

40396176144 is the 200988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40396176144

40396176144 is an abundant number, since it is smaller than the sum of its proper divisors (77014619445).

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

40396176144 is an frugal number, since it uses more digits than its factorization.

40396176144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40396176144 in words is "forty billion, three hundred ninety-six million, one hundred seventy-six thousand, one hundred forty-four".