10441894320 has 480 divisors, whose sum is σ = 42326915904. Its totient is φ = 2272665600.

The previous prime is 10441894313. The next prime is 10441894339. The reversal of 10441894320 is 2349814401.

It is a happy number.

10441894320 is a `hidden beast` number, since 1 + 0 + 44 + 189 + 432 + 0 = 666.

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

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, 3808150 + ... + 3810890.

Almost surely, 2^10441894320 is an apocalyptic number.

10441894320 is a gapful number since it is divisible by the number (10) 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 10441894320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21163457952).

10441894320 is an abundant number, since it is smaller than the sum of its proper divisors (31885021584).

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

10441894320 is a wasteful number, since it uses less digits than its factorization.

10441894320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10441894320 in words is "ten billion, four hundred forty-one million, eight hundred ninety-four thousand, three hundred twenty".