1399639449600 has 756 divisors, whose sum is σ = 5832422673714. Its totient is φ = 319896944640.

The previous prime is 1399639449587. The next prime is 1399639449619. The reversal of 1399639449600 is 69449369931.

1399639449600 is a `hidden beast` number, since 1 + 399 + 63 + 94 + 49 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1326661668864 + 72977780736 = 1151808^2 + 270144^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 90309052 + ... + 90324548.

Almost surely, 2^{1399639449600} is an apocalyptic number.

1399639449600 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 1399639449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916211336857).

1399639449600 is an abundant number, since it is smaller than the sum of its proper divisors (4432783224114).

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

1399639449600 is a wasteful number, since it uses less digits than its factorization.

1399639449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15553 (or 15514 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 1399639449600 in words is "one trillion, three hundred ninety-nine billion, six hundred thirty-nine million, four hundred forty-nine thousand, six hundred".