20414240322432 has 64 divisors (see below), whose sum is σ = 59154900946560. Its totient is φ = 6186133429760.

The previous prime is 20414240322379. The next prime is 20414240322433. The reversal of 20414240322432 is 23422304241402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20414240322393 and 20414240322402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414240322433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2416454148 + ... + 2416462595.

It is an arithmetic number, because the mean of its divisors is an integer number (924295327290).

Almost surely, 2^{20414240322432} is an apocalyptic number.

20414240322432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20414240322432 is an abundant number, since it is smaller than the sum of its proper divisors (38740660624128).

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

20414240322432 is a wasteful number, since it uses less digits than its factorization.

20414240322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832916771 (or 4832916759 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 20414240322432 its reverse (23422304241402), we get a palindrome (43836544563834).

The spelling of 20414240322432 in words is "twenty trillion, four hundred fourteen billion, two hundred forty million, three hundred twenty-two thousand, four hundred thirty-two".