41063500800 has 1584 divisors, whose sum is σ = 186265078272. Its totient is φ = 8758886400.

The previous prime is 41063500787. The next prime is 41063500811. The reversal of 41063500800 is 800536014.

It is a super-2 number, since 2×41063500800² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1001548780 + ... + 1001548820.

Almost surely, 2^41063500800 is an apocalyptic number.

41063500800 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 41063500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93132539136).

41063500800 is an abundant number, since it is smaller than the sum of its proper divisors (145201577472).

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

41063500800 is a wasteful number, since it uses less digits than its factorization.

41063500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 41063500800 in words is "forty-one billion, sixty-three million, five hundred thousand, eight hundred".