44321390125968 has 320 divisors, whose sum is σ = 124826833428480. Its totient is φ = 13499542425600.

The previous prime is 44321390125927. The next prime is 44321390125979. The reversal of 44321390125968 is 86952109312344.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12053680546 + ... + 12053684222.

It is an arithmetic number, because the mean of its divisors is an integer number (390083854464).

Almost surely, 2^{44321390125968} is an apocalyptic number.

44321390125968 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 44321390125968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62413416714240).

44321390125968 is an abundant number, since it is smaller than the sum of its proper divisors (80505443302512).

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

44321390125968 is a wasteful number, since it uses less digits than its factorization.

44321390125968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 44321390125968 in words is "forty-four trillion, three hundred twenty-one billion, three hundred ninety million, one hundred twenty-five thousand, nine hundred sixty-eight".