41232701952 has 480 divisors, whose sum is σ = 142901478720. Its totient is φ = 11306926080.

The previous prime is 41232701947. The next prime is 41232701959. The reversal of 41232701952 is 25910723214.

It is a super-2 number, since 2×41232701952² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (41232701959) by changing a digit.

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, 19347927 + ... + 19350057.

It is an arithmetic number, because the mean of its divisors is an integer number (297711414).

Almost surely, 2^41232701952 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 41232701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71450739360).

41232701952 is an abundant number, since it is smaller than the sum of its proper divisors (101668776768).

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

41232701952 is a wasteful number, since it uses less digits than its factorization.

41232701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2185 counting only the distinct ones).

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

The spelling of 41232701952 in words is "forty-one billion, two hundred thirty-two million, seven hundred one thousand, nine hundred fifty-two".