1399310821440 has 560 divisors, whose sum is σ = 5697422696064. Its totient is φ = 319350988800.

The previous prime is 1399310821379. The next prime is 1399310821457. The reversal of 1399310821440 is 441280139931.

1399310821440 is a `hidden beast` number, since 1 + 39 + 93 + 10 + 82 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125369460 + ... + 125380620.

Almost surely, 2^{1399310821440} is an apocalyptic number.

1399310821440 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 1399310821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848711348032).

1399310821440 is an abundant number, since it is smaller than the sum of its proper divisors (4298111874624).

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

1399310821440 is a wasteful number, since it uses less digits than its factorization.

1399310821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11888 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1399310821440 in words is "one trillion, three hundred ninety-nine billion, three hundred ten million, eight hundred twenty-one thousand, four hundred forty".