1399641600 has 480 divisors, whose sum is σ = 5455650816. Its totient is φ = 309657600.

The previous prime is 1399641589. The next prime is 1399641643. The reversal of 1399641600 is 61469931.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11020737 + ... + 11020863.

Almost surely, 2^1399641600 is an apocalyptic number.

1399641600 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 1399641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727825408).

1399641600 is an abundant number, since it is smaller than the sum of its proper divisors (4056009216).

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

1399641600 is a wasteful number, since it uses less digits than its factorization.

1399641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 1399641600 is about 37411.7842397285. The cubic root of 1399641600 is about 1118.5934724778.

The spelling of 1399641600 in words is "one billion, three hundred ninety-nine million, six hundred forty-one thousand, six hundred".