1405424240 has 80 divisors (see below), whose sum is σ = 3651703776. Its totient is φ = 498585600.

The previous prime is 1405424171. The next prime is 1405424257. The reversal of 1405424240 is 424245041.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16604 + ... + 55556.

Almost surely, 2^1405424240 is an apocalyptic number.

1405424240 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 1405424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825851888).

1405424240 is an abundant number, since it is smaller than the sum of its proper divisors (2246279536).

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

1405424240 is a wasteful number, since it uses less digits than its factorization.

1405424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39018 (or 39012 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 1405424240 is about 37488.9882498848. The cubic root of 1405424240 is about 1120.1318509740.

Adding to 1405424240 its reverse (424245041), we get a palindrome (1829669281).

The spelling of 1405424240 in words is "one billion, four hundred five million, four hundred twenty-four thousand, two hundred forty".