41278852800 has 336 divisors, whose sum is σ = 158399683200. Its totient is φ = 10428134400.

The previous prime is 41278852789. The next prime is 41278852829. The reversal of 41278852800 is 825887214.

It is a happy number.

41278852800 is a `hidden beast` number, since 41 + 2 + 7 + 88 + 528 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795655 + ... + 845945.

Almost surely, 2^41278852800 is an apocalyptic number.

41278852800 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 41278852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79199841600).

41278852800 is an abundant number, since it is smaller than the sum of its proper divisors (117120830400).

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

41278852800 is a wasteful number, since it uses less digits than its factorization.

41278852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50341 (or 50320 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 41278852800 in words is "forty-one billion, two hundred seventy-eight million, eight hundred fifty-two thousand, eight hundred".