1314201600 has 504 divisors, whose sum is σ = 5070604032. Its totient is φ = 324403200.

The previous prime is 1314201589. The next prime is 1314201611. The reversal of 1314201600 is 61024131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1314201589) and next prime (1314201611).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42393585 + ... + 42393615.

Almost surely, 2^1314201600 is an apocalyptic number.

1314201600 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 1314201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535302016).

1314201600 is an abundant number, since it is smaller than the sum of its proper divisors (3756402432).

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

1314201600 is a wasteful number, since it uses less digits than its factorization.

1314201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1314201600 is about 36251.9185699185. The cubic root of 1314201600 is about 1095.3527355500.

Adding to 1314201600 its reverse (61024131), we get a palindrome (1375225731).

The spelling of 1314201600 in words is "one billion, three hundred fourteen million, two hundred one thousand, six hundred".