94444313040 has 960 divisors, whose sum is σ = 430892421120. Its totient is φ = 18766218240.

The previous prime is 94444313009. The next prime is 94444313057. The reversal of 94444313040 is 4031344449.

94444313040 is a `hidden beast` number, since 9 + 44 + 443 + 130 + 40 = 666.

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 = 94444312986 and 94444313004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26775757 + ... + 26779283.

It is an arithmetic number, because the mean of its divisors is an integer number (448846272).

Almost surely, 2^94444313040 is an apocalyptic number.

94444313040 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 94444313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215446210560).

94444313040 is an abundant number, since it is smaller than the sum of its proper divisors (336448108080).

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

94444313040 is a wasteful number, since it uses less digits than its factorization.

94444313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 94444313040 its reverse (4031344449), we get a palindrome (98475657489).

The spelling of 94444313040 in words is "ninety-four billion, four hundred forty-four million, three hundred thirteen thousand, forty".