41809996800 has 1584 divisors, whose sum is σ = 186265078272. Its totient is φ = 9157017600.

The previous prime is 41809996769. The next prime is 41809996889. The reversal of 41809996800 is 869990814.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 889574377 + ... + 889574423.

Almost surely, 2^41809996800 is an apocalyptic number.

41809996800 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 41809996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93132539136).

41809996800 is an abundant number, since it is smaller than the sum of its proper divisors (144455081472).

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

41809996800 is a wasteful number, since it uses less digits than its factorization.

41809996800 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 1119744, while the sum is 54.

The spelling of 41809996800 in words is "forty-one billion, eight hundred nine million, nine hundred ninety-six thousand, eight hundred".