41453632000 has 480 divisors, whose sum is σ = 116908423632. Its totient is φ = 14643200000.

The previous prime is 41453631917. The next prime is 41453632069. The reversal of 41453632000 is 23635414.

It can be written as a sum of positive squares in 8 ways, for example, as 12727449856 + 28726182144 = 112816^2 + 169488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41453632000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410431950 + ... + 410432050.

Almost surely, 2^41453632000 is an apocalyptic number.

41453632000 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 41453632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58454211816).

41453632000 is an abundant number, since it is smaller than the sum of its proper divisors (75454791632).

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

41453632000 is a wasteful number, since it uses less digits than its factorization.

41453632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 41453632000 in words is "forty-one billion, four hundred fifty-three million, six hundred thirty-two thousand".