944555040 has 576 divisors, whose sum is σ = 3941481600. Its totient is φ = 209848320.

The previous prime is 944555009. The next prime is 944555063. The reversal of 944555040 is 40555449.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 944554986 and 944555004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6795291 + ... + 6795429.

It is an arithmetic number, because the mean of its divisors is an integer number (6842850).

Almost surely, 2^944555040 is an apocalyptic number.

944555040 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 944555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970740800).

944555040 is an abundant number, since it is smaller than the sum of its proper divisors (2996926560).

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

944555040 is a wasteful number, since it uses less digits than its factorization.

944555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 944555040 is about 30733.6141708065. The cubic root of 944555040 is about 981.1658483827.

The spelling of 944555040 in words is "nine hundred forty-four million, five hundred fifty-five thousand, forty".