944790072200 has 324 divisors, whose sum is σ = 2534906102445. Its totient is φ = 327269529600.

The previous prime is 944790072199. The next prime is 944790072209. The reversal of 944790072200 is 2270097449.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 52109019076 + 892681053124 = 228274^2 + 944818^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=687310.

It is not an unprimeable number, because it can be changed into a prime (944790072209) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3037910045 + ... + 3037910355.

Almost surely, 2^944790072200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 944790072200

944790072200 is an abundant number, since it is smaller than the sum of its proper divisors (1590116030245).

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

944790072200 is a wasteful number, since it uses less digits than its factorization.

944790072200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 944790072200 in words is "nine hundred forty-four billion, seven hundred ninety million, seventy-two thousand, two hundred".