1344400420 has 48 divisors (see below), whose sum is σ = 3099595968. Its totient is φ = 485746560.

The previous prime is 1344400391. The next prime is 1344400451. The reversal of 1344400420 is 240044431.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1344400391 and 1344400400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15079 + ... + 54001.

It is an arithmetic number, because the mean of its divisors is an integer number (64574916).

Almost surely, 2^1344400420 is an apocalyptic number.

1344400420 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 1344400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549797984).

1344400420 is an abundant number, since it is smaller than the sum of its proper divisors (1755195548).

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

1344400420 is a wasteful number, since it uses less digits than its factorization.

1344400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39100 (or 39098 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1344400420 is about 36666.0663284187. The cubic root of 1344400420 is about 1103.6792557435.

Adding to 1344400420 its reverse (240044431), we get a palindrome (1584444851).

The spelling of 1344400420 in words is "one billion, three hundred forty-four million, four hundred thousand, four hundred twenty".