1399680000 has 440 divisors, whose sum is σ = 5243758960. Its totient is φ = 373248000.

The previous prime is 1399679999. The next prime is 1399680001. The reversal of 1399680000 is 869931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1399679999) and next prime (1399680001).

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

It is not an unprimeable number, because it can be changed into a prime (1399680001) 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 39 ways as a sum of consecutive naturals, for example, 279935998 + ... + 279936002.

It is an arithmetic number, because the mean of its divisors is an integer number (11917634).

Almost surely, 2^1399680000 is an apocalyptic number.

1399680000 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 1399680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621879480).

1399680000 is an abundant number, since it is smaller than the sum of its proper divisors (3844078960).

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

1399680000 is an frugal number, since it uses more digits than its factorization.

1399680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1399680000 is about 37412.2974434877. The cubic root of 1399680000 is about 1118.6037021434.

The spelling of 1399680000 in words is "one billion, three hundred ninety-nine million, six hundred eighty thousand".