1381819392 has 352 divisors, whose sum is σ = 4456892160. Its totient is φ = 421724160.

The previous prime is 1381819391. The next prime is 1381819399. The reversal of 1381819392 is 2939181831.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381819391) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26072038 + ... + 26072090.

Almost surely, 2^1381819392 is an apocalyptic number.

1381819392 is a gapful number since it is divisible by the number (12) 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 1381819392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228446080).

1381819392 is an abundant number, since it is smaller than the sum of its proper divisors (3075072768).

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

1381819392 is a wasteful number, since it uses less digits than its factorization.

1381819392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 1381819392 is about 37172.8313691599. The cubic root of 1381819392 is about 1113.8253408431.

The spelling of 1381819392 in words is "one billion, three hundred eighty-one million, eight hundred nineteen thousand, three hundred ninety-two".