1389760416 has 240 divisors, whose sum is σ = 4522573440. Its totient is φ = 415134720.

The previous prime is 1389760391. The next prime is 1389760423. The reversal of 1389760416 is 6140679831.

It is a happy number.

1389760416 is a `hidden beast` number, since 1 + 38 + 9 + 7 + 604 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2252140 + ... + 2252756.

It is an arithmetic number, because the mean of its divisors is an integer number (18844056).

Almost surely, 2^1389760416 is an apocalyptic number.

1389760416 is a gapful number since it is divisible by the number (16) 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 1389760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261286720).

1389760416 is an abundant number, since it is smaller than the sum of its proper divisors (3132813024).

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

1389760416 is a wasteful number, since it uses less digits than its factorization.

1389760416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1389760416 is about 37279.4905544590. The cubic root of 1389760416 is about 1115.9549062598.

The spelling of 1389760416 in words is "one billion, three hundred eighty-nine million, seven hundred sixty thousand, four hundred sixteen".