1399104000 has 480 divisors, whose sum is σ = 5775808896. Its totient is φ = 318873600.

The previous prime is 1399103999. The next prime is 1399104013. The reversal of 1399104000 is 4019931.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4031827 + ... + 4032173.

Almost surely, 2^1399104000 is an apocalyptic number.

1399104000 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 1399104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887904448).

1399104000 is an abundant number, since it is smaller than the sum of its proper divisors (4376704896).

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

1399104000 is an equidigital number, since it uses as much as digits as its factorization.

1399104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1399104000 is about 37404.5986477599. The cubic root of 1399104000 is about 1118.4502375095.

The spelling of 1399104000 in words is "one billion, three hundred ninety-nine million, one hundred four thousand".