44401161849408 has 3136 divisors, whose sum is σ = 179099504640000. Its totient is φ = 10812400349184.

The previous prime is 44401161849397. The next prime is 44401161849433. The reversal of 44401161849408 is 80494816110444.

44401161849408 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 11 + 618 + 4 + 9 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3136).

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 185778919753 + ... + 185778919991.

Almost surely, 2^{44401161849408} is an apocalyptic number.

44401161849408 is a gapful number since it is divisible by the number (48) 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 44401161849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89549752320000).

44401161849408 is an abundant number, since it is smaller than the sum of its proper divisors (134698342790592).

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

44401161849408 is a wasteful number, since it uses less digits than its factorization.

44401161849408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 44401161849408 in words is "forty-four trillion, four hundred one billion, one hundred sixty-one million, eight hundred forty-nine thousand, four hundred eight".