1408117625 has 16 divisors (see below), whose sum is σ = 1759599504. Its totient is φ = 1125040000.

The previous prime is 1408117597. The next prime is 1408117631. The reversal of 1408117625 is 5267118041.

It can be written as a sum of positive squares in 8 ways, for example, as 834227689 + 573889936 = 28883^2 + 23956^2 .

It is not a de Polignac number, because 1408117625 - 2¹⁴ = 1408101241 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95765 + ... + 109485.

It is an arithmetic number, because the mean of its divisors is an integer number (109974969).

Almost surely, 2^1408117625 is an apocalyptic number.

It is an amenable number.

1408117625 is a deficient number, since it is larger than the sum of its proper divisors (351481879).

1408117625 is an equidigital number, since it uses as much as digits as its factorization.

1408117625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14557 (or 14547 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 1408117625 is about 37524.8934042457. The cubic root of 1408117625 is about 1120.8469425556.

The spelling of 1408117625 in words is "one billion, four hundred eight million, one hundred seventeen thousand, six hundred twenty-five".