44417374449120 has 960 divisors, whose sum is σ = 167796080686080. Its totient is φ = 11037839155200.

The previous prime is 44417374449037. The next prime is 44417374449157. The reversal of 44417374449120 is 2194447371444.

44417374449120 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 7 + 3 + 74 + 449 + 120 = 666.

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 159 ways as a sum of consecutive naturals, for example, 10498077405 + ... + 10498081635.

It is an arithmetic number, because the mean of its divisors is an integer number (174787584048).

Almost surely, 2^{44417374449120} is an apocalyptic number.

44417374449120 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 44417374449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83898040343040).

44417374449120 is an abundant number, since it is smaller than the sum of its proper divisors (123378706236960).

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

44417374449120 is a wasteful number, since it uses less digits than its factorization.

44417374449120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 44417374449120 in words is "forty-four trillion, four hundred seventeen billion, three hundred seventy-four million, four hundred forty-nine thousand, one hundred twenty".