1344431400 has 192 divisors, whose sum is σ = 4752820800. Its totient is φ = 311439360.

The previous prime is 1344431327. The next prime is 1344431441. The reversal of 1344431400 is 41344431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127531 + ... + 137669.

It is an arithmetic number, because the mean of its divisors is an integer number (24754275).

Almost surely, 2^1344431400 is an apocalyptic number.

1344431400 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 1344431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376410400).

1344431400 is an abundant number, since it is smaller than the sum of its proper divisors (3408389400).

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

1344431400 is a wasteful number, since it uses less digits than its factorization.

1344431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1344431400 is about 36666.4887874473. The cubic root of 1344431400 is about 1103.6877333072.

Adding to 1344431400 its reverse (41344431), we get a palindrome (1385775831).

It can be divided in two parts, 13444 and 31400, that added together give a palindrome (44844).

The spelling of 1344431400 in words is "one billion, three hundred forty-four million, four hundred thirty-one thousand, four hundred".