1380581280 has 576 divisors, whose sum is σ = 5489648640. Its totient is φ = 323481600.

The previous prime is 1380581269. The next prime is 1380581291. The reversal of 1380581280 is 821850831.

1380581280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1380581269) and next prime (1380581291).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22632450 + ... + 22632510.

It is an arithmetic number, because the mean of its divisors is an integer number (9530640).

Almost surely, 2^1380581280 is an apocalyptic number.

1380581280 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 1380581280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744824320).

1380581280 is an abundant number, since it is smaller than the sum of its proper divisors (4109067360).

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

1380581280 is a wasteful number, since it uses less digits than its factorization.

1380581280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1380581280 is about 37156.1741841110. The cubic root of 1380581280 is about 1113.4925784461.

It can be divided in two parts, 1380 and 581280, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 1380581280 in words is "one billion, three hundred eighty million, five hundred eighty-one thousand, two hundred eighty".