1381890240 has 448 divisors, whose sum is σ = 5161605120. Its totient is φ = 347627520.

The previous prime is 1381890217. The next prime is 1381890283. The reversal of 1381890240 is 420981831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1381890195 and 1381890204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16649239 + ... + 16649321.

It is an arithmetic number, because the mean of its divisors is an integer number (11521440).

Almost surely, 2^1381890240 is an apocalyptic number.

1381890240 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 1381890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580802560).

1381890240 is an abundant number, since it is smaller than the sum of its proper divisors (3779714880).

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

1381890240 is a wasteful number, since it uses less digits than its factorization.

1381890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1381890240 is about 37173.7843109899. The cubic root of 1381890240 is about 1113.8443763624.

The spelling of 1381890240 in words is "one billion, three hundred eighty-one million, eight hundred ninety thousand, two hundred forty".