40571906073664 has 105 divisors (see below), whose sum is σ = 93928380729477. Its totient is φ = 17386889651712.

The previous prime is 40571906073661. The next prime is 40571906073683. The reversal of 40571906073664 is 46637060917504.

The square root of 40571906073664 is 6369608.

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

It can be written as a sum of positive squares in only one way, i.e., 24206321280064 + 16365584793600 = 4919992^2 + 4045440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40571906073599 and 40571906073608.

It is not an unprimeable number, because it can be changed into a prime (40571906073661) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2496878212 + ... + 2496894460.

Almost surely, 2^{40571906073664} is an apocalyptic number.

40571906073664 is the 6369608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40571906073664

40571906073664 is an abundant number, since it is smaller than the sum of its proper divisors (53356474655813).

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

40571906073664 is an frugal number, since it uses more digits than its factorization.

40571906073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32538 (or 16258 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 40571906073664 in words is "forty trillion, five hundred seventy-one billion, nine hundred six million, seventy-three thousand, six hundred sixty-four".