20132430240 has 384 divisors, whose sum is σ = 70020018432. Its totient is φ = 4832133120.

The previous prime is 20132430181. The next prime is 20132430289. The reversal of 20132430240 is 4203423102.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 86405164 + ... + 86405396.

It is an arithmetic number, because the mean of its divisors is an integer number (182343798).

Almost surely, 2^20132430240 is an apocalyptic number.

20132430240 is a gapful number since it is divisible by the number (20) 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 20132430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35010009216).

20132430240 is an abundant number, since it is smaller than the sum of its proper divisors (49887588192).

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

20132430240 is a wasteful number, since it uses less digits than its factorization.

20132430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20132430240 its reverse (4203423102), we get a palindrome (24335853342).

The spelling of 20132430240 in words is "twenty billion, one hundred thirty-two million, four hundred thirty thousand, two hundred forty".