1399129200 has 600 divisors, whose sum is σ = 5953587200. Its totient is φ = 307929600.

The previous prime is 1399129187. The next prime is 1399129213. The reversal of 1399129200 is 29219931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1399129187) and next prime (1399129213).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7030701 + ... + 7030899.

Almost surely, 2^1399129200 is an apocalyptic number.

1399129200 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 1399129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976793600).

1399129200 is an abundant number, since it is smaller than the sum of its proper divisors (4554458000).

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

1399129200 is a wasteful number, since it uses less digits than its factorization.

1399129200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1399129200 is about 37404.9355032194. The cubic root of 1399129200 is about 1118.4569524682.

The spelling of 1399129200 in words is "one billion, three hundred ninety-nine million, one hundred twenty-nine thousand, two hundred".