1408105120 has 24 divisors (see below), whose sum is σ = 3326648724. Its totient is φ = 563241984.

The previous prime is 1408105109. The next prime is 1408105123. The reversal of 1408105120 is 215018041.

1408105120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1368112144 + 39992976 = 36988^2 + 6324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1408105091 and 1408105100.

It is not an unprimeable number, because it can be changed into a prime (1408105123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4400169 + ... + 4400488.

Almost surely, 2^1408105120 is an apocalyptic number.

1408105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1408105120 is an abundant number, since it is smaller than the sum of its proper divisors (1918543604).

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

1408105120 is an equidigital number, since it uses as much as digits as its factorization.

1408105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8800672 (or 8800664 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 1408105120 is about 37524.7267811506. The cubic root of 1408105120 is about 1120.8436245959.

The spelling of 1408105120 in words is "one billion, four hundred eight million, one hundred five thousand, one hundred twenty".