40631561224065 has 72 divisors (see below), whose sum is σ = 81927793495080. Its totient is φ = 18574133566464.

The previous prime is 40631561224057. The next prime is 40631561224139. The reversal of 40631561224065 is 56042216513604.

40631561224065 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 1 + 5 + 612 + 24 + 0 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6289898473089 + 34341662750976 = 2507967^2 + 5860176^2 .

It is not a de Polignac number, because 40631561224065 - 2³ = 40631561224057 is a prime.

It is a super-2 number, since 2×40631561224065² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40631561224065.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 203150331 + ... + 203350239.

It is an arithmetic number, because the mean of its divisors is an integer number (1137886020765).

Almost surely, 2^{40631561224065} is an apocalyptic number.

40631561224065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40631561224065 is an abundant number, since it is smaller than the sum of its proper divisors (41296232271015).

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

40631561224065 is a wasteful number, since it uses less digits than its factorization.

40631561224065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292111 (or 292101 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 40631561224065 its reverse (56042216513604), we get a palindrome (96673777737669).

The spelling of 40631561224065 in words is "forty trillion, six hundred thirty-one billion, five hundred sixty-one million, two hundred twenty-four thousand, sixty-five".