41443494220800 has 1320 divisors, whose sum is σ = 180125722160384. Its totient is φ = 9216657653760.

The previous prime is 41443494220753. The next prime is 41443494220811. The reversal of 41443494220800 is 802249434414.

41443494220800 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 349 + 4 + 220 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 537023817 + ... + 537100983.

Almost surely, 2^{41443494220800} is an apocalyptic number.

41443494220800 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 41443494220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90062861080192).

41443494220800 is an abundant number, since it is smaller than the sum of its proper divisors (138682227939584).

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

41443494220800 is a wasteful number, since it uses less digits than its factorization.

41443494220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77253 (or 77221 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 41443494220800 in words is "forty-one trillion, four hundred forty-three billion, four hundred ninety-four million, two hundred twenty thousand, eight hundred".