41353984800 has 216 divisors, whose sum is σ = 146048191380. Its totient is φ = 11010816000.

The previous prime is 41353984787. The next prime is 41353984807. The reversal of 41353984800 is 848935314.

41353984800 is a `hidden beast` number, since 4 + 135 + 39 + 8 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22080771216 + 19273213584 = 148596^2 + 138828^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41353984807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5100750 + ... + 5108850.

Almost surely, 2^41353984800 is an apocalyptic number.

41353984800 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 41353984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73024095690).

41353984800 is an abundant number, since it is smaller than the sum of its proper divisors (104694206580).

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

41353984800 is a wasteful number, since it uses less digits than its factorization.

41353984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8836 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 41353984800 in words is "forty-one billion, three hundred fifty-three million, nine hundred eighty-four thousand, eight hundred".