10364440800 has 432 divisors, whose sum is σ = 40524406272. Its totient is φ = 2291788800.

The previous prime is 10364440789. The next prime is 10364440829. The reversal of 10364440800 is 804446301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3644179 + ... + 3647021.

It is an arithmetic number, because the mean of its divisors is an integer number (93806496).

Almost surely, 2^10364440800 is an apocalyptic number.

10364440800 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 10364440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20262203136).

10364440800 is an abundant number, since it is smaller than the sum of its proper divisors (30159965472).

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

10364440800 is a wasteful number, since it uses less digits than its factorization.

10364440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10364440800 in words is "ten billion, three hundred sixty-four million, four hundred forty thousand, eight hundred".