1244134400 has 132 divisors (see below), whose sum is σ = 3219554352. Its totient is φ = 475791360.

The previous prime is 1244134399. The next prime is 1244134417. The reversal of 1244134400 is 44314421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587744 + ... + 589856.

Almost surely, 2^1244134400 is an apocalyptic number.

1244134400 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 1244134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609777176).

1244134400 is an abundant number, since it is smaller than the sum of its proper divisors (1975419952).

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

1244134400 is a wasteful number, since it uses less digits than its factorization.

1244134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1244134400 is about 35272.2894068417. The cubic root of 1244134400 is about 1075.5297623252.

Adding to 1244134400 its reverse (44314421), we get a palindrome (1288448821).

The spelling of 1244134400 in words is "one billion, two hundred forty-four million, one hundred thirty-four thousand, four hundred".