1399901659200 has 504 divisors, whose sum is σ = 5609279490080. Its totient is φ = 339368832000.

The previous prime is 1399901659199. The next prime is 1399901659231. The reversal of 1399901659200 is 29561099931.

1399901659200 is a `hidden beast` number, since 1 + 39 + 9 + 9 + 0 + 16 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 5093295 + ... + 5361105.

Almost surely, 2^{1399901659200} is an apocalyptic number.

1399901659200 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 1399901659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804639745040).

1399901659200 is an abundant number, since it is smaller than the sum of its proper divisors (4209377830880).

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

1399901659200 is a wasteful number, since it uses less digits than its factorization.

1399901659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267864 (or 267832 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 1399901659200 in words is "one trillion, three hundred ninety-nine billion, nine hundred one million, six hundred fifty-nine thousand, two hundred".