41144998956800 has 432 divisors, whose sum is σ = 103410412976640. Its totient is φ = 16206981120000.

The previous prime is 41144998956797. The next prime is 41144998956823. The reversal of 41144998956800 is 865989944114.

It is a congruent number.

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, 93724370981 + ... + 93724371419.

Almost surely, 2^{41144998956800} is an apocalyptic number.

41144998956800 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 41144998956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51705206488320).

41144998956800 is an abundant number, since it is smaller than the sum of its proper divisors (62265414019840).

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

41144998956800 is a wasteful number, since it uses less digits than its factorization.

41144998956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 68.

The spelling of 41144998956800 in words is "forty-one trillion, one hundred forty-four billion, nine hundred ninety-eight million, nine hundred fifty-six thousand, eight hundred".