41461632000 has 1056 divisors, whose sum is σ = 163661481984. Its totient is φ = 10450944000.

The previous prime is 41461631987. The next prime is 41461632007. The reversal of 41461632000 is 23616414.

41461632000 is a `hidden beast` number, since 4 + 14 + 616 + 32 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41461632007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 964223979 + ... + 964224021.

It is an arithmetic number, because the mean of its divisors is an integer number (154982464).

Almost surely, 2^41461632000 is an apocalyptic number.

41461632000 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 41461632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81830740992).

41461632000 is an abundant number, since it is smaller than the sum of its proper divisors (122199849984).

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

41461632000 is an equidigital number, since it uses as much as digits as its factorization.

41461632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 41461632000 in words is "forty-one billion, four hundred sixty-one million, six hundred thirty-two thousand".