44114146099200 has 972 divisors, whose sum is σ = 161986545654570. Its totient is φ = 11475993231360.

The previous prime is 44114146099183. The next prime is 44114146099201. The reversal of 44114146099200 is 299064141144.

44114146099200 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 4 + 14 + 609 + 9 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 39785615917056 + 4328530182144 = 6307584^2 + 2080512^2 .

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

It is not an unprimeable number, because it can be changed into a prime (44114146099201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 54529228396 + ... + 54529229204.

Almost surely, 2^{44114146099200} is an apocalyptic number.

44114146099200 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 44114146099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80993272827285).

44114146099200 is an abundant number, since it is smaller than the sum of its proper divisors (117872399555370).

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

44114146099200 is an frugal number, since it uses more digits than its factorization.

44114146099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 44114146099200 in words is "forty-four trillion, one hundred fourteen billion, one hundred forty-six million, ninety-nine thousand, two hundred".