9441357004800 has 1836 divisors, whose sum is σ = 40104281454120. Its totient is φ = 2116571627520.

The previous prime is 9441357004799. The next prime is 9441357004843. The reversal of 9441357004800 is 84007531449.

9441357004800 is a `hidden beast` number, since 94 + 4 + 13 + 5 + 70 + 0 + 480 + 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 107 ways as a sum of consecutive naturals, for example, 52745011111 + ... + 52745011289.

Almost surely, 2^{9441357004800} is an apocalyptic number.

9441357004800 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 9441357004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20052140727060).

9441357004800 is an abundant number, since it is smaller than the sum of its proper divisors (30662924449320).

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

9441357004800 is a wasteful number, since it uses less digits than its factorization.

9441357004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 9441357004800 in words is "nine trillion, four hundred forty-one billion, three hundred fifty-seven million, four thousand, eight hundred".