1380983040 has 288 divisors, whose sum is σ = 5062579200. Its totient is φ = 356106240.

The previous prime is 1380983039. The next prime is 1380983081. The reversal of 1380983040 is 403890831.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1380983040² = 3814228313535283200, which contains 22 as substring.

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 = 1380982986 and 1380983004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070716 + ... + 1072004.

It is an arithmetic number, because the mean of its divisors is an integer number (17578400).

Almost surely, 2^1380983040 is an apocalyptic number.

1380983040 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 1380983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531289600).

1380983040 is an abundant number, since it is smaller than the sum of its proper divisors (3681596160).

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

1380983040 is a wasteful number, since it uses less digits than its factorization.

1380983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1380983040 is about 37161.5801601600. The cubic root of 1380983040 is about 1113.6005796668.

The spelling of 1380983040 in words is "one billion, three hundred eighty million, nine hundred eighty-three thousand, forty".