1405013640 has 64 divisors (see below), whose sum is σ = 4226299200. Its totient is φ = 373669632.

The previous prime is 1405013639. The next prime is 1405013641. The reversal of 1405013640 is 463105041.

1405013640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1405013639) and next prime (1405013641).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1405013640.

It is not an unprimeable number, because it can be changed into a prime (1405013641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30034 + ... + 60926.

It is an arithmetic number, because the mean of its divisors is an integer number (66035925).

Almost surely, 2^1405013640 is an apocalyptic number.

1405013640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405013640 is an abundant number, since it is smaller than the sum of its proper divisors (2821285560).

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

1405013640 is a wasteful number, since it uses less digits than its factorization.

1405013640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31286 (or 31282 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1405013640 is about 37483.5115750913. The cubic root of 1405013640 is about 1120.0227567655.

Adding to 1405013640 its reverse (463105041), we get a palindrome (1868118681).

The spelling of 1405013640 in words is "one billion, four hundred five million, thirteen thousand, six hundred forty".