41252612623560 has 192 divisors, whose sum is σ = 144839619877680. Its totient is φ = 10122455808000.

The previous prime is 41252612623549. The next prime is 41252612623571. The reversal of 41252612623560 is 6532621625214.

41252612623560 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 2 + 6 + 12 + 623 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41252612623549) and next prime (41252612623571).

It can be written as a sum of positive squares in 8 ways, for example, as 990618108804 + 40261994514756 = 995298^2 + 6345234^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12419691 + ... + 15386810.

Almost surely, 2^{41252612623560} is an apocalyptic number.

41252612623560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41252612623560 is an abundant number, since it is smaller than the sum of its proper divisors (103587007254120).

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

41252612623560 is a wasteful number, since it uses less digits than its factorization.

41252612623560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27806848 (or 27806841 counting only the distinct ones).

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

The spelling of 41252612623560 in words is "forty-one trillion, two hundred fifty-two billion, six hundred twelve million, six hundred twenty-three thousand, five hundred sixty".