1381440282624 has 840 divisors, whose sum is σ = 4471214283360. Its totient is φ = 424821915648.

The previous prime is 1381440282613. The next prime is 1381440282659. The reversal of 1381440282624 is 4262820441831.

1381440282624 is a `hidden beast` number, since 1 + 3 + 8 + 14 + 4 + 0 + 2 + 8 + 2 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1381440282624.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 17486585817 + ... + 17486585895.

Almost surely, 2^{1381440282624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381440282624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235607141680).

1381440282624 is an abundant number, since it is smaller than the sum of its proper divisors (3089774000736).

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

1381440282624 is an frugal number, since it uses more digits than its factorization.

1381440282624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 1381440282624 in words is "one trillion, three hundred eighty-one billion, four hundred forty million, two hundred eighty-two thousand, six hundred twenty-four".