944144640 has 288 divisors, whose sum is σ = 3549692160. Its totient is φ = 236814336.

The previous prime is 944144639. The next prime is 944144653. The reversal of 944144640 is 46441449.

944144640 is a `hidden beast` number, since 9 + 4 + 4 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 944144595 and 944144604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586717 + ... + 588323.

It is an arithmetic number, because the mean of its divisors is an integer number (12325320).

Almost surely, 2^944144640 is an apocalyptic number.

944144640 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 944144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774846080).

944144640 is an abundant number, since it is smaller than the sum of its proper divisors (2605547520).

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

944144640 is a wasteful number, since it uses less digits than its factorization.

944144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 944144640 is about 30726.9367168288. The cubic root of 944144640 is about 981.0237254500.

It can be divided in two parts, 944144 and 640, that added together give a square (944784 = 972²).

The spelling of 944144640 in words is "nine hundred forty-four million, one hundred forty-four thousand, six hundred forty".