1380419040 has 768 divisors, whose sum is σ = 6218311680. Its totient is φ = 249200640.

The previous prime is 1380419039. The next prime is 1380419041. The reversal of 1380419040 is 409140831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1380419039) and next prime (1380419041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1380418989 and 1380419007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380419041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81201112 + ... + 81201128.

It is an arithmetic number, because the mean of its divisors is an integer number (8096760).

Almost surely, 2^1380419040 is an apocalyptic number.

1380419040 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 1380419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109155840).

1380419040 is an abundant number, since it is smaller than the sum of its proper divisors (4837892640).

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

1380419040 is a wasteful number, since it uses less digits than its factorization.

1380419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1380419040 is about 37153.9909027281. The cubic root of 1380419040 is about 1113.4489591108.

Adding to 1380419040 its reverse (409140831), we get a palindrome (1789559871).

The spelling of 1380419040 in words is "one billion, three hundred eighty million, four hundred nineteen thousand, forty".