41352251688 has 192 divisors, whose sum is σ = 125807572800. Its totient is φ = 12160419840.

The previous prime is 41352251663. The next prime is 41352251711. The reversal of 41352251688 is 88615225314.

41352251688 is a `hidden beast` number, since 4 + 1 + 3 + 52 + 2 + 516 + 88 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12687003 + ... + 12690261.

It is an arithmetic number, because the mean of its divisors is an integer number (655247775).

Almost surely, 2^41352251688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41352251688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62903786400).

41352251688 is an abundant number, since it is smaller than the sum of its proper divisors (84455321112).

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

41352251688 is a wasteful number, since it uses less digits than its factorization.

41352251688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3745 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 41352251688 in words is "forty-one billion, three hundred fifty-two million, two hundred fifty-one thousand, six hundred eighty-eight".