1314240000 has 300 divisors, whose sum is σ = 4496563764. Its totient is φ = 340992000.

The previous prime is 1314239989. The next prime is 1314240107. The reversal of 1314240000 is 424131.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 35519982 + ... + 35520018.

Almost surely, 2^1314240000 is an apocalyptic number.

1314240000 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 1314240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248281882).

1314240000 is an abundant number, since it is smaller than the sum of its proper divisors (3182323764).

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

1314240000 is an frugal number, since it uses more digits than its factorization.

1314240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1314240000 is about 36252.4481931910. The cubic root of 1314240000 is about 1095.3634039121.

Multiplying 1314240000 by its product of nonzero digits (96), we get a square (126167040000 = 355200²).

1314240000 divided by its product of nonzero digits (96) gives a square (13690000 = 3700²).

Adding to 1314240000 its reverse (424131), we get a palindrome (1314664131).

The spelling of 1314240000 in words is "one billion, three hundred fourteen million, two hundred forty thousand".