41602580400 has 120 divisors (see below), whose sum is σ = 133344746640. Its totient is φ = 11087544320.

The previous prime is 41602580377. The next prime is 41602580419. The reversal of 41602580400 is 408520614.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2257624 + ... + 2275976.

It is an arithmetic number, because the mean of its divisors is an integer number (1111206222).

Almost surely, 2^41602580400 is an apocalyptic number.

41602580400 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 41602580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66672373320).

41602580400 is an abundant number, since it is smaller than the sum of its proper divisors (91742166240).

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

41602580400 is a wasteful number, since it uses less digits than its factorization.

41602580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20263 (or 20252 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 41602580400 in words is "forty-one billion, six hundred two million, five hundred eighty thousand, four hundred".