944581794127020 has 864 divisors, whose sum is σ = 3477084406548480. Its totient is φ = 206700256788480.

The previous prime is 944581794127019. The next prime is 944581794127063. The reversal of 944581794127020 is 20721497185449.

944581794127020 is a `hidden beast` number, since 9 + 4 + 4 + 5 + 81 + 79 + 412 + 70 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64870660540 + ... + 64870675100.

It is an arithmetic number, because the mean of its divisors is an integer number (4024403248320).

Almost surely, 2^{944581794127020} is an apocalyptic number.

944581794127020 is a gapful number since it is divisible by the number (90) 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 944581794127020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738542203274240).

944581794127020 is an abundant number, since it is smaller than the sum of its proper divisors (2532502612421460).

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

944581794127020 is a wasteful number, since it uses less digits than its factorization.

944581794127020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16743 (or 16731 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 944581794127020 in words is "nine hundred forty-four trillion, five hundred eighty-one billion, seven hundred ninety-four million, one hundred twenty-seven thousand, twenty".