1380582144 has 108 divisors (see below), whose sum is σ = 4128172776. Its totient is φ = 460173312.

The previous prime is 1380582143. The next prime is 1380582157. The reversal of 1380582144 is 4412850831.

1380582144 is a `hidden beast` number, since 1 + 38 + 0 + 582 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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 = 1380582099 and 1380582108.

It is not an unprimeable number, because it can be changed into a prime (1380582143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51112 + ... + 73304.

It is an arithmetic number, because the mean of its divisors is an integer number (38223822).

Almost surely, 2^1380582144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064086388).

1380582144 is an abundant number, since it is smaller than the sum of its proper divisors (2747590632).

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

1380582144 is an frugal number, since it uses more digits than its factorization.

1380582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22224 (or 22198 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1380582144 is about 37156.1858107099. The cubic root of 1380582144 is about 1113.4928107292.

The spelling of 1380582144 in words is "one billion, three hundred eighty million, five hundred eighty-two thousand, one hundred forty-four".