41516701632 has 392 divisors, whose sum is σ = 147330663936. Its totient is φ = 11344126464.

The previous prime is 41516701613. The next prime is 41516701637. The reversal of 41516701632 is 23610761514.

41516701632 is a `hidden beast` number, since 4 + 1 + 5 + 16 + 7 + 0 + 1 + 632 = 666.

It is a super-2 number, since 2×41516701632² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41516701637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7508853 + ... + 7514379.

Almost surely, 2^41516701632 is an apocalyptic number.

41516701632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41516701632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73665331968).

41516701632 is an abundant number, since it is smaller than the sum of its proper divisors (105813962304).

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

41516701632 is an equidigital number, since it uses as much as digits as its factorization.

41516701632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 41516701632 in words is "forty-one billion, five hundred sixteen million, seven hundred one thousand, six hundred thirty-two".