1343012400 has 360 divisors, whose sum is σ = 4965817584. Its totient is φ = 348364800.

The previous prime is 1343012381. The next prime is 1343012401. The reversal of 1343012400 is 42103431.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1343012401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3985032 + ... + 3985368.

Almost surely, 2^1343012400 is an apocalyptic number.

1343012400 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 1343012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482908792).

1343012400 is an abundant number, since it is smaller than the sum of its proper divisors (3622805184).

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

1343012400 is a wasteful number, since it uses less digits than its factorization.

1343012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1343012400 is about 36647.1335850432. The cubic root of 1343012400 is about 1103.2992954352.

Adding to 1343012400 its reverse (42103431), we get a palindrome (1385115831).

The spelling of 1343012400 in words is "one billion, three hundred forty-three million, twelve thousand, four hundred".