40561264125 has 192 divisors, whose sum is σ = 81441884160. Its totient is φ = 19336320000.

The previous prime is 40561264111. The next prime is 40561264147. The reversal of 40561264125 is 52146216504.

40561264125 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 1 + 2 + 641 + 2 + 5 = 666.

It is not a de Polignac number, because 40561264125 - 2¹⁵ = 40561231357 is a prime.

It is a super-2 number, since 2×40561264125² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40561264125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27166879 + ... + 27168371.

It is an arithmetic number, because the mean of its divisors is an integer number (424176480).

Almost surely, 2^40561264125 is an apocalyptic number.

40561264125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40561264125 is an abundant number, since it is smaller than the sum of its proper divisors (40880620035).

40561264125 is a wasteful number, since it uses less digits than its factorization.

40561264125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 40561264125 in words is "forty billion, five hundred sixty-one million, two hundred sixty-four thousand, one hundred twenty-five".