1381054080 has 256 divisors, whose sum is σ = 5065205760. Its totient is φ = 313528320.

The previous prime is 1381054069. The next prime is 1381054093. The reversal of 1381054080 is 804501831.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 2835597 + ... + 2836083.

It is an arithmetic number, because the mean of its divisors is an integer number (19785960).

Almost surely, 2^1381054080 is an apocalyptic number.

1381054080 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 1381054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532602880).

1381054080 is an abundant number, since it is smaller than the sum of its proper divisors (3684151680).

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

1381054080 is a wasteful number, since it uses less digits than its factorization.

1381054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1381054080 is about 37162.5359737465. The cubic root of 1381054080 is about 1113.6196744773.

The spelling of 1381054080 in words is "one billion, three hundred eighty-one million, fifty-four thousand, eighty".