1380416100 has 144 divisors (see below), whose sum is σ = 4671034368. Its totient is φ = 308165760.

The previous prime is 1380416083. The next prime is 1380416117. The reversal of 1380416100 is 16140831.

It is an interprime number because it is at equal distance from previous prime (1380416083) and next prime (1380416117).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82657 + ... + 97943.

Almost surely, 2^1380416100 is an apocalyptic number.

1380416100 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 1380416100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335517184).

1380416100 is an abundant number, since it is smaller than the sum of its proper divisors (3290618268).

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

1380416100 is a wasteful number, since it uses less digits than its factorization.

1380416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1380416100 is about 37153.9513376438. The cubic root of 1380416100 is about 1113.4481686402.

Adding to 1380416100 its reverse (16140831), we get a palindrome (1396556931).

The spelling of 1380416100 in words is "one billion, three hundred eighty million, four hundred sixteen thousand, one hundred".