1408820112 has 240 divisors, whose sum is σ = 4657416192. Its totient is φ = 389226240.

The previous prime is 1408820099. The next prime is 1408820131. The reversal of 1408820112 is 2110288041.

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, 6206143 + ... + 6206369.

Almost surely, 2^1408820112 is an apocalyptic number.

1408820112 is a gapful number since it is divisible by the number (12) 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 1408820112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328708096).

1408820112 is an abundant number, since it is smaller than the sum of its proper divisors (3248596080).

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

1408820112 is a wasteful number, since it uses less digits than its factorization.

1408820112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1408820112 is about 37534.2525168678. The cubic root of 1408820112 is about 1121.0333023434.

The spelling of 1408820112 in words is "one billion, four hundred eight million, eight hundred twenty thousand, one hundred twelve".