20201404434420 has 192 divisors, whose sum is σ = 63182749593600. Its totient is φ = 4781455795200.

The previous prime is 20201404434383. The next prime is 20201404434451. The reversal of 20201404434420 is 2443440410202.

It is a super-2 number, since 2×20201404434420² (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2733856 + ... + 6919304.

It is an arithmetic number, because the mean of its divisors is an integer number (329076820800).

Almost surely, 2^{20201404434420} is an apocalyptic number.

20201404434420 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 20201404434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31591374796800).

20201404434420 is an abundant number, since it is smaller than the sum of its proper divisors (42981345159180).

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

20201404434420 is a wasteful number, since it uses less digits than its factorization.

20201404434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185646 (or 4185644 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 20201404434420 its reverse (2443440410202), we get a palindrome (22644844844622).

The spelling of 20201404434420 in words is "twenty trillion, two hundred one billion, four hundred four million, four hundred thirty-four thousand, four hundred twenty".