1408640112 has 160 divisors (see below), whose sum is σ = 4432216320. Its totient is φ = 424800000.

The previous prime is 1408640099. The next prime is 1408640161. The reversal of 1408640112 is 2110468041.

It is a happy number.

1408640112 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 640 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1192162 + ... + 1193342.

It is an arithmetic number, because the mean of its divisors is an integer number (27701352).

Almost surely, 2^1408640112 is an apocalyptic number.

1408640112 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 1408640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216108160).

1408640112 is an abundant number, since it is smaller than the sum of its proper divisors (3023576208).

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

1408640112 is a wasteful number, since it uses less digits than its factorization.

1408640112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1408640112 is about 37531.8546304336. The cubic root of 1408640112 is about 1120.9855568134.

The spelling of 1408640112 in words is "one billion, four hundred eight million, six hundred forty thousand, one hundred twelve".