44743457341440 has 3072 divisors, whose sum is σ = 196211915827200. Its totient is φ = 9631589990400.

The previous prime is 44743457341421. The next prime is 44743457341543. The reversal of 44743457341440 is 4414375434744.

44743457341440 is a `hidden beast` number, since 4 + 4 + 7 + 43 + 457 + 3 + 4 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×44743457341440² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 165105008505 + ... + 165105008775.

It is an arithmetic number, because the mean of its divisors is an integer number (63871066350).

Almost surely, 2^{44743457341440} is an apocalyptic number.

44743457341440 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 44743457341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98105957913600).

44743457341440 is an abundant number, since it is smaller than the sum of its proper divisors (151468458485760).

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

44743457341440 is a wasteful number, since it uses less digits than its factorization.

44743457341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 54.

The spelling of 44743457341440 in words is "forty-four trillion, seven hundred forty-three billion, four hundred fifty-seven million, three hundred forty-one thousand, four hundred forty".