1380883140 has 960 divisors, whose sum is σ = 6147187200. Its totient is φ = 250822656.

The previous prime is 1380883139. The next prime is 1380883181. The reversal of 1380883140 is 413880831.

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 = 1380883095 and 1380883104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 47616646 + ... + 47616674.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2^1380883140 is an apocalyptic number.

1380883140 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 1380883140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073593600).

1380883140 is an abundant number, since it is smaller than the sum of its proper divisors (4766304060).

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

1380883140 is a wasteful number, since it uses less digits than its factorization.

1380883140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1380883140 is about 37160.2360057091. The cubic root of 1380883140 is about 1113.5737264814.

The spelling of 1380883140 in words is "one billion, three hundred eighty million, eight hundred eighty-three thousand, one hundred forty".