1399998816 has 288 divisors, whose sum is σ = 4358914560. Its totient is φ = 441552384.

The previous prime is 1399998811. The next prime is 1399998827. The reversal of 1399998816 is 6188999931.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399998811) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17721465 + ... + 17721543.

It is an arithmetic number, because the mean of its divisors is an integer number (15135120).

Almost surely, 2^1399998816 is an apocalyptic number.

1399998816 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 1399998816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179457280).

1399998816 is an abundant number, since it is smaller than the sum of its proper divisors (2958915744).

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

1399998816 is an equidigital number, since it uses as much as digits as its factorization.

1399998816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 63.

The square root of 1399998816 is about 37416.5580458705. The cubic root of 1399998816 is about 1118.6886267176.

The spelling of 1399998816 in words is "one billion, three hundred ninety-nine million, nine hundred ninety-eight thousand, eight hundred sixteen".