1399874351400 has 336 divisors, whose sum is σ = 5576952055200. Its totient is φ = 319971047040.

The previous prime is 1399874351363. The next prime is 1399874351441. The reversal of 1399874351400 is 41534789931.

1399874351400 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 87 + 43 + 514 + 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 (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 334791 + ... + 1706409.

Almost surely, 2^{1399874351400} is an apocalyptic number.

1399874351400 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 1399874351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788476027600).

1399874351400 is an abundant number, since it is smaller than the sum of its proper divisors (4177077703800).

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

1399874351400 is a wasteful number, since it uses less digits than its factorization.

1399874351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371660 (or 1371636 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1399874351400 in words is "one trillion, three hundred ninety-nine billion, eight hundred seventy-four million, three hundred fifty-one thousand, four hundred".