44476441600000 has 672 divisors, whose sum is σ = 116107081171200. Its totient is φ = 17013964800000.

The previous prime is 44476441599977. The next prime is 44476441600001. The reversal of 44476441600000 is 614467444.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (44476441600001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103193599785 + ... + 103193600215.

It is an arithmetic number, because the mean of its divisors is an integer number (172778394600).

Almost surely, 2^{44476441600000} is an apocalyptic number.

44476441600000 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 44476441600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58053540585600).

44476441600000 is an abundant number, since it is smaller than the sum of its proper divisors (71630639571200).

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

44476441600000 is an frugal number, since it uses more digits than its factorization.

44476441600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 44476441600000 in words is "forty-four trillion, four hundred seventy-six billion, four hundred forty-one million, six hundred thousand".