44740042659840 has 768 divisors, whose sum is σ = 171510267801600. Its totient is φ = 9828443750400.

The previous prime is 44740042659833. The next prime is 44740042659853. The reversal of 44740042659840 is 4895624004744.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147519555 + ... + 147822525.

It is an arithmetic number, because the mean of its divisors is an integer number (223320661200).

Almost surely, 2^{44740042659840} is an apocalyptic number.

44740042659840 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 44740042659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85755133900800).

44740042659840 is an abundant number, since it is smaller than the sum of its proper divisors (126770225141760).

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

44740042659840 is a wasteful number, since it uses less digits than its factorization.

44740042659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303054 (or 303034 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 44740042659840 in words is "forty-four trillion, seven hundred forty billion, forty-two million, six hundred fifty-nine thousand, eight hundred forty".