1380240000 has 480 divisors, whose sum is σ = 5219454240. Its totient is φ = 362880000.

The previous prime is 1380239989. The next prime is 1380240053. The reversal of 1380240000 is 420831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19439965 + ... + 19440035.

It is an arithmetic number, because the mean of its divisors is an integer number (10873863).

Almost surely, 2^1380240000 is an apocalyptic number.

1380240000 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 1380240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609727120).

1380240000 is an abundant number, since it is smaller than the sum of its proper divisors (3839214240).

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

1380240000 is an frugal number, since it uses more digits than its factorization.

1380240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1380240000 is about 37151.5813929905. The cubic root of 1380240000 is about 1113.4008190135.

Adding to 1380240000 its reverse (420831), we get a palindrome (1380660831).

The spelling of 1380240000 in words is "one billion, three hundred eighty million, two hundred forty thousand".