44425191000960 has 1920 divisors, whose sum is σ = 210086495562240. Its totient is φ = 8829723893760.

The previous prime is 44425191000943. The next prime is 44425191001003. The reversal of 44425191000960 is 6900019152444.

44425191000960 is a `hidden beast` number, since 4 + 4 + 42 + 519 + 1 + 0 + 0 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 642625917 + ... + 642695043.

It is an arithmetic number, because the mean of its divisors is an integer number (109420049772).

Almost surely, 2^{44425191000960} is an apocalyptic number.

44425191000960 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 44425191000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105043247781120).

44425191000960 is an abundant number, since it is smaller than the sum of its proper divisors (165661304561280).

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

44425191000960 is a wasteful number, since it uses less digits than its factorization.

44425191000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69206 (or 69178 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 44425191000960 in words is "forty-four trillion, four hundred twenty-five billion, one hundred ninety-one million, nine hundred sixty", and thus it is an aban number.