1319142400 has 99 divisors (see below), whose sum is σ = 3284343949. Its totient is φ = 525332480.

The previous prime is 1319142397. The next prime is 1319142403. The reversal of 1319142400 is 42419131.

It is a happy number.

The square root of 1319142400 is 36320.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1319142397) and next prime (1319142403).

It can be written as a sum of positive squares in only one way, i.e., 474891264 + 844251136 = 21792^2 + 29056^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1319142403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5811087 + ... + 5811313.

Almost surely, 2^1319142400 is an apocalyptic number.

1319142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1319142400 is the 36320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319142400

1319142400 is an abundant number, since it is smaller than the sum of its proper divisors (1965201549).

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

1319142400 is an frugal number, since it uses more digits than its factorization.

1319142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 1319142400 is about 1096.7236948733.

Multiplying 1319142400 by its sum of digits (25), we get a square (32978560000 = 181600²).

1319142400 divided by its sum of digits (25) gives a square (52765696 = 7264²).

The spelling of 1319142400 in words is "one billion, three hundred nineteen million, one hundred forty-two thousand, four hundred".