41372056800 has 576 divisors, whose sum is σ = 159379799040. Its totient is φ = 10321551360.

The previous prime is 41372056799. The next prime is 41372056813. The reversal of 41372056800 is 865027314.

41372056800 is a `hidden beast` number, since 41 + 37 + 20 + 568 + 0 + 0 = 666.

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, 112730217 + ... + 112730583.

It is an arithmetic number, because the mean of its divisors is an integer number (276701040).

Almost surely, 2^41372056800 is an apocalyptic number.

41372056800 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 41372056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79689899520).

41372056800 is an abundant number, since it is smaller than the sum of its proper divisors (118007742240).

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

41372056800 is a wasteful number, since it uses less digits than its factorization.

41372056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 41372056800 in words is "forty-one billion, three hundred seventy-two million, fifty-six thousand, eight hundred".