40723668225 has 36 divisors (see below), whose sum is σ = 72953144316. Its totient is φ = 21715559040.

The previous prime is 40723668203. The next prime is 40723668229. The reversal of 40723668225 is 52286632704.

40723668225 is a `hidden beast` number, since 407 + 236 + 6 + 8 + 2 + 2 + 5 = 666.

40723668225 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 6 ways, for example, as 2731421169 + 37992247056 = 52263^2 + 194916^2 .

It is not a de Polignac number, because 40723668225 - 2¹⁵ = 40723635457 is a prime.

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 (40723668229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1733659 + ... + 1756991.

It is an arithmetic number, because the mean of its divisors is an integer number (2026476231).

Almost surely, 2^40723668225 is an apocalyptic number.

40723668225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40723668225 is a deficient number, since it is larger than the sum of its proper divisors (32229476091).

40723668225 is a wasteful number, since it uses less digits than its factorization.

40723668225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31106 (or 31098 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 40723668225 in words is "forty billion, seven hundred twenty-three million, six hundred sixty-eight thousand, two hundred twenty-five".