7353240440 has 128 divisors (see below), whose sum is σ = 20482277760. Its totient is φ = 2313529344.

The previous prime is 7353240439. The next prime is 7353240449. The reversal of 7353240440 is 440423537.

It is a junction number, because it is equal to n+sod(n) for n = 7353240397 and 7353240406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7353240449) 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 31 ways as a sum of consecutive naturals, for example, 623882 + ... + 635558.

It is an arithmetic number, because the mean of its divisors is an integer number (160017795).

Almost surely, 2^7353240440 is an apocalyptic number.

7353240440 is a gapful number since it is divisible by the number (70) 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 7353240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241138880).

7353240440 is an abundant number, since it is smaller than the sum of its proper divisors (13129037320).

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

7353240440 is a wasteful number, since it uses less digits than its factorization.

7353240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 7353240440 is about 85751.0375447434. The cubic root of 7353240440 is about 1944.5819743401.

Adding to 7353240440 its reverse (440423537), we get a palindrome (7793663977).

The spelling of 7353240440 in words is "seven billion, three hundred fifty-three million, two hundred forty thousand, four hundred forty".