44012022697440 has 1536 divisors, whose sum is σ = 181125310464000. Its totient is φ = 9774975614976.

The previous prime is 44012022697417. The next prime is 44012022697441. The reversal of 44012022697440 is 4479622021044.

44012022697440 is a `hidden beast` number, since 4 + 4 + 0 + 120 + 22 + 69 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44012022697441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67399728154 + ... + 67399728806.

It is an arithmetic number, because the mean of its divisors is an integer number (117920124000).

Almost surely, 2^{44012022697440} is an apocalyptic number.

44012022697440 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 44012022697440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90562655232000).

44012022697440 is an abundant number, since it is smaller than the sum of its proper divisors (137113287766560).

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

44012022697440 is a wasteful number, since it uses less digits than its factorization.

44012022697440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 44012022697440 in words is "forty-four trillion, twelve billion, twenty-two million, six hundred ninety-seven thousand, four hundred forty".