1399641120 has 144 divisors (see below), whose sum is σ = 4953312000. Its totient is φ = 373227264.

The previous prime is 1399641109. The next prime is 1399641151. The reversal of 1399641120 is 211469931.

It is a happy number.

1399641120 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 641 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 20881 + ... + 56879.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000).

Almost surely, 2^1399641120 is an apocalyptic number.

1399641120 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 1399641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656000).

1399641120 is an abundant number, since it is smaller than the sum of its proper divisors (3553670880).

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

1399641120 is an equidigital number, since it uses as much as digits as its factorization.

1399641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36029 (or 36009 counting only the distinct ones).

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

The square root of 1399641120 is about 37411.7778246370. Note that the first 3 decimals coincide. The cubic root of 1399641120 is about 1118.5933446058.

The spelling of 1399641120 in words is "one billion, three hundred ninety-nine million, six hundred forty-one thousand, one hundred twenty".