944366078880 has 504 divisors, whose sum is σ = 3891224018052. Its totient is φ = 215853797376.

The previous prime is 944366078867. The next prime is 944366078899. The reversal of 944366078880 is 88870663449.

944366078880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 940799122704 + 3566956176 = 969948^2 + 59724^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 83 ways as a sum of consecutive naturals, for example, 5632744 + ... + 5797976.

Almost surely, 2^944366078880 is an apocalyptic number.

944366078880 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 944366078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945612009026).

944366078880 is an abundant number, since it is smaller than the sum of its proper divisors (2946857939172).

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

944366078880 is a wasteful number, since it uses less digits than its factorization.

944366078880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165280 (or 165250 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 944366078880 in words is "nine hundred forty-four billion, three hundred sixty-six million, seventy-eight thousand, eight hundred eighty".