41613465600 has 1296 divisors, whose sum is σ = 184369840200. Its totient is φ = 8918138880.

The previous prime is 41613465571. The next prime is 41613465601. The reversal of 41613465600 is 656431614.

It is a happy number.

41613465600 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 3 + 46 + 5 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41613465601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 429004752 + ... + 429004848.

Almost surely, 2^41613465600 is an apocalyptic number.

41613465600 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 41613465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92184920100).

41613465600 is an abundant number, since it is smaller than the sum of its proper divisors (142756374600).

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

41613465600 is a wasteful number, since it uses less digits than its factorization.

41613465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 41613465600 in words is "forty-one billion, six hundred thirteen million, four hundred sixty-five thousand, six hundred".