41652132480 has 576 divisors, whose sum is σ = 177174789480. Its totient is φ = 8959426560.

The previous prime is 41652132439. The next prime is 41652132493. The reversal of 41652132480 is 8423125614.

It is a happy number.

41652132480 is a `hidden beast` number, since 4 + 165 + 2 + 13 + 2 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40846026816 + 806105664 = 202104^2 + 28392^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 4793740 + ... + 4802420.

Almost surely, 2^41652132480 is an apocalyptic number.

41652132480 is a gapful number since it is divisible by the number (40) 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 41652132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88587394740).

41652132480 is an abundant number, since it is smaller than the sum of its proper divisors (135522657000).

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

41652132480 is a wasteful number, since it uses less digits than its factorization.

41652132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8737 (or 8715 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 41652132480 in words is "forty-one billion, six hundred fifty-two million, one hundred thirty-two thousand, four hundred eighty".