1387942416 has 120 divisors (see below), whose sum is σ = 4582516224. Its totient is φ = 383754240.

The previous prime is 1387942399. The next prime is 1387942417. The reversal of 1387942416 is 6142497831.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1387942417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9040 + ... + 53456.

Almost surely, 2^1387942416 is an apocalyptic number.

1387942416 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 1387942416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291258112).

1387942416 is an abundant number, since it is smaller than the sum of its proper divisors (3194573808).

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

1387942416 is a wasteful number, since it uses less digits than its factorization.

1387942416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44469 (or 44460 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1387942416 is about 37255.0991946069. The cubic root of 1387942416 is about 1115.4680858234.

The spelling of 1387942416 in words is "one billion, three hundred eighty-seven million, nine hundred forty-two thousand, four hundred sixteen".