41652393552 has 360 divisors, whose sum is σ = 149822375040. Its totient is φ = 10680284160.

The previous prime is 41652393539. The next prime is 41652393571. The reversal of 41652393552 is 25539325614.

41652393552 is a `hidden beast` number, since 4 + 1 + 6 + 5 + 2 + 3 + 93 + 552 = 666.

It is a super-2 number, since 2×41652393552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41652393498 and 41652393507.

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, 6128268 + ... + 6135060.

It is an arithmetic number, because the mean of its divisors is an integer number (416173264).

Almost surely, 2^41652393552 is an apocalyptic number.

41652393552 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 41652393552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74911187520).

41652393552 is an abundant number, since it is smaller than the sum of its proper divisors (108169981488).

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

41652393552 is a wasteful number, since it uses less digits than its factorization.

41652393552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6911 (or 6895 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 41652393552 in words is "forty-one billion, six hundred fifty-two million, three hundred ninety-three thousand, five hundred fifty-two".