41652076032 has 720 divisors, whose sum is σ = 149980802400. Its totient is φ = 11119804416.

The previous prime is 41652075991. The next prime is 41652076097. The reversal of 41652076032 is 23067025614.

41652076032 is a `hidden beast` number, since 41 + 6 + 5 + 2 + 0 + 7 + 603 + 2 = 666.

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

It is a congruent number.

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, 570576348 + ... + 570576420.

It is an arithmetic number, because the mean of its divisors is an integer number (208306670).

Almost surely, 2^41652076032 is an apocalyptic number.

41652076032 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 41652076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74990401200).

41652076032 is an abundant number, since it is smaller than the sum of its proper divisors (108328726368).

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

41652076032 is an equidigital number, since it uses as much as digits as its factorization.

41652076032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 41652076032 in words is "forty-one billion, six hundred fifty-two million, seventy-six thousand, thirty-two".