1405335040 has 80 divisors (see below), whose sum is σ = 3394952352. Its totient is φ = 557891584.

The previous prime is 1405335031. The next prime is 1405335047. The reversal of 1405335040 is 405335041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1405334996 and 1405335014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405335047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348717 + ... + 352723.

Almost surely, 2^1405335040 is an apocalyptic number.

1405335040 is a gapful number since it is divisible by the number (10) 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 1405335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697476176).

1405335040 is an abundant number, since it is smaller than the sum of its proper divisors (1989617312).

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

1405335040 is an equidigital number, since it uses as much as digits as its factorization.

1405335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1405335040 is about 37487.7985483277. The cubic root of 1405335040 is about 1120.1081528212.

Subtracting from 1405335040 its reverse (405335041), we obtain a palindrome (999999999).

The spelling of 1405335040 in words is "one billion, four hundred five million, three hundred thirty-five thousand, forty".