20400141424020 has 192 divisors, whose sum is σ = 61314138224640. Its totient is φ = 5049746178048.

The previous prime is 20400141424001. The next prime is 20400141424027. The reversal of 20400141424020 is 2042414100402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400141424027) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 35756637 + ... + 36322683.

It is an arithmetic number, because the mean of its divisors is an integer number (319344469920).

Almost surely, 2^{20400141424020} is an apocalyptic number.

20400141424020 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 20400141424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30657069112320).

20400141424020 is an abundant number, since it is smaller than the sum of its proper divisors (40913996800620).

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

20400141424020 is a wasteful number, since it uses less digits than its factorization.

20400141424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566562 (or 566560 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20400141424020 its reverse (2042414100402), we get a palindrome (22442555524422).

The spelling of 20400141424020 in words is "twenty trillion, four hundred billion, one hundred forty-one million, four hundred twenty-four thousand, twenty".