944408434320 has 640 divisors, whose sum is σ = 3673864857600. Its totient is φ = 221364928512.

The previous prime is 944408434313. The next prime is 944408434351. The reversal of 944408434320 is 23434804449.

944408434320 is a `hidden beast` number, since 94 + 440 + 84 + 3 + 43 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59437417 + ... + 59453303.

It is an arithmetic number, because the mean of its divisors is an integer number (5740413840).

Almost surely, 2^944408434320 is an apocalyptic number.

944408434320 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 944408434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836932428800).

944408434320 is an abundant number, since it is smaller than the sum of its proper divisors (2729456423280).

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

944408434320 is a wasteful number, since it uses less digits than its factorization.

944408434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16024 (or 16012 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 944408434320 in words is "nine hundred forty-four billion, four hundred eight million, four hundred thirty-four thousand, three hundred twenty".