1314029376 has 336 divisors, whose sum is σ = 4382097408. Its totient is φ = 372556800.

The previous prime is 1314029317. The next prime is 1314029413. The reversal of 1314029376 is 6739204131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1314029376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10346625 + ... + 10346751.

Almost surely, 2^1314029376 is an apocalyptic number.

1314029376 is a gapful number since it is divisible by the number (16) 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 1314029376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191048704).

1314029376 is an abundant number, since it is smaller than the sum of its proper divisors (3068068032).

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

1314029376 is a wasteful number, since it uses less digits than its factorization.

1314029376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1314029376 is about 36249.5431143621. The cubic root of 1314029376 is about 1095.3048853900.

The spelling of 1314029376 in words is "one billion, three hundred fourteen million, twenty-nine thousand, three hundred seventy-six".