41532825600 has 1344 divisors, whose sum is σ = 185272070400. Its totient is φ = 8918138880.

The previous prime is 41532825569. The next prime is 41532825611. The reversal of 41532825600 is 652823514.

41532825600 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 28 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 1122508782 + ... + 1122508818.

Almost surely, 2^41532825600 is an apocalyptic number.

41532825600 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 41532825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92636035200).

41532825600 is an abundant number, since it is smaller than the sum of its proper divisors (143739244800).

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

41532825600 is a wasteful number, since it uses less digits than its factorization.

41532825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 41532825600 in words is "forty-one billion, five hundred thirty-two million, eight hundred twenty-five thousand, six hundred".