44198956800 has 864 divisors, whose sum is σ = 172593397760. Its totient is φ = 11048140800.

The previous prime is 44198956787. The next prime is 44198956859. The reversal of 44198956800 is 865989144.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198201489 + ... + 198201711.

Almost surely, 2^44198956800 is an apocalyptic number.

44198956800 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 44198956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86296698880).

44198956800 is an abundant number, since it is smaller than the sum of its proper divisors (128394440960).

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

44198956800 is a wasteful number, since it uses less digits than its factorization.

44198956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 44198956800 in words is "forty-four billion, one hundred ninety-eight million, nine hundred fifty-six thousand, eight hundred".