10244398111200 has 2592 divisors, whose sum is σ = 44322671667456. Its totient is φ = 2214051840000.

The previous prime is 10244398111151. The next prime is 10244398111229. The reversal of 10244398111200 is 211189344201.

10244398111200 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 439 + 8 + 1 + 11 + 200 = 666.

10244398111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 24333486990 + ... + 24333487410.

It is an arithmetic number, because the mean of its divisors is an integer number (17099796168).

Almost surely, 2^{10244398111200} is an apocalyptic number.

10244398111200 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 10244398111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161335833728).

10244398111200 is an abundant number, since it is smaller than the sum of its proper divisors (34078273556256).

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

10244398111200 is a wasteful number, since it uses less digits than its factorization.

10244398111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10244398111200 in words is "ten trillion, two hundred forty-four billion, three hundred ninety-eight million, one hundred eleven thousand, two hundred".