20402420442420 has 96 divisors (see below), whose sum is σ = 57966066789120. Its totient is φ = 5360859141120.

The previous prime is 20402420442413. The next prime is 20402420442479. The reversal of 20402420442420 is 2424402420402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2190841 + ... + 6753119.

It is an arithmetic number, because the mean of its divisors is an integer number (603813195720).

Almost surely, 2^{20402420442420} is an apocalyptic number.

20402420442420 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 20402420442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28983033394560).

20402420442420 is an abundant number, since it is smaller than the sum of its proper divisors (37563646346700).

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

20402420442420 is a wasteful number, since it uses less digits than its factorization.

20402420442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563385 (or 4563383 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 20402420442420 its reverse (2424402420402), we get a palindrome (22826822862822).

The spelling of 20402420442420 in words is "twenty trillion, four hundred two billion, four hundred twenty million, four hundred forty-two thousand, four hundred twenty".