10244110133400 has 384 divisors, whose sum is σ = 37819719383040. Its totient is φ = 2260984320000.

The previous prime is 10244110133363. The next prime is 10244110133417. The reversal of 10244110133400 is 433101144201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5445625 + ... + 7081175.

It is an arithmetic number, because the mean of its divisors is an integer number (98488852560).

Almost surely, 2^{10244110133400} is an apocalyptic number.

10244110133400 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 10244110133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909859691520).

10244110133400 is an abundant number, since it is smaller than the sum of its proper divisors (27575609249640).

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

10244110133400 is a wasteful number, since it uses less digits than its factorization.

10244110133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635667 (or 1635658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10244110133400 its reverse (433101144201), we get a palindrome (10677211277601).

The spelling of 10244110133400 in words is "ten trillion, two hundred forty-four billion, one hundred ten million, one hundred thirty-three thousand, four hundred".