44181316801440 has 2304 divisors, whose sum is σ = 205535684874240. Its totient is φ = 8755382845440.

The previous prime is 44181316801429. The next prime is 44181316801441. The reversal of 44181316801440 is 4410861318144.

44181316801440 is a `hidden beast` number, since 4 + 4 + 18 + 131 + 68 + 0 + 1 + 440 = 666.

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 (44181316801441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44582559345 + ... + 44582560335.

It is an arithmetic number, because the mean of its divisors is an integer number (89208196560).

Almost surely, 2^{44181316801440} is an apocalyptic number.

44181316801440 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 44181316801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102767842437120).

44181316801440 is an abundant number, since it is smaller than the sum of its proper divisors (161354368072800).

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

44181316801440 is a wasteful number, since it uses less digits than its factorization.

44181316801440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 44181316801440 in words is "forty-four trillion, one hundred eighty-one billion, three hundred sixteen million, eight hundred one thousand, four hundred forty".