44400355300444 has 48 divisors (see below), whose sum is σ = 91445077190880. Its totient is φ = 18596778762240.

The previous prime is 44400355300429. The next prime is 44400355300459.

44400355300444 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44400355300429) and next prime (44400355300459).

It is a junction number, because it is equal to n+sod(n) for n = 44400355300397 and 44400355300406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67884549 + ... + 68535484.

It is an arithmetic number, because the mean of its divisors is an integer number (1905105774810).

Almost surely, 2^{44400355300444} is an apocalyptic number.

44400355300444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44400355300444 is an abundant number, since it is smaller than the sum of its proper divisors (47044721890436).

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

44400355300444 is a wasteful number, since it uses less digits than its factorization.

44400355300444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136420630 (or 136420628 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 4440035 and 5300444, that added together give a palindrome (9740479).

The spelling of 44400355300444 in words is "forty-four trillion, four hundred billion, three hundred fifty-five million, three hundred thousand, four hundred forty-four".