20402212424440 has 512 divisors, whose sum is σ = 59645963520000. Its totient is φ = 6094329937920.

The previous prime is 20402212424437. The next prime is 20402212424479. The reversal of 20402212424440 is 4442421220402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13701955216 + ... + 13701956704.

It is an arithmetic number, because the mean of its divisors is an integer number (116496022500).

Almost surely, 2^{20402212424440} is an apocalyptic number.

20402212424440 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 20402212424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29822981760000).

20402212424440 is an abundant number, since it is smaller than the sum of its proper divisors (39243751095560).

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

20402212424440 is a wasteful number, since it uses less digits than its factorization.

20402212424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 20402212424440 its reverse (4442421220402), we get a palindrome (24844633644842).

The spelling of 20402212424440 in words is "twenty trillion, four hundred two billion, two hundred twelve million, four hundred twenty-four thousand, four hundred forty".