1344470400 has 1152 divisors, whose sum is σ = 6445420800. Its totient is φ = 268738560.

The previous prime is 1344470377. The next prime is 1344470429. The reversal of 1344470400 is 40744431.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70761591 + ... + 70761609.

Almost surely, 2^1344470400 is an apocalyptic number.

1344470400 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 1344470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222710400).

1344470400 is an abundant number, since it is smaller than the sum of its proper divisors (5100950400).

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

1344470400 is a wasteful number, since it uses less digits than its factorization.

1344470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1344470400 is about 36667.0206043524. The cubic root of 1344470400 is about 1103.6984053295.

The spelling of 1344470400 in words is "one billion, three hundred forty-four million, four hundred seventy thousand, four hundred".