20021200414420 has 96 divisors (see below), whose sum is σ = 44174344032000. Its totient is φ = 7607607220224.

The previous prime is 20021200414399. The next prime is 20021200414433. The reversal of 20021200414420 is 2441400212002.

It is a junction number, because it is equal to n+sod(n) for n = 20021200414391 and 20021200414400.

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, 481061452 + ... + 481103068.

It is an arithmetic number, because the mean of its divisors is an integer number (460149417000).

Almost surely, 2^{20021200414420} is an apocalyptic number.

20021200414420 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 20021200414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22087172016000).

20021200414420 is an abundant number, since it is smaller than the sum of its proper divisors (24153143617580).

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

20021200414420 is a wasteful number, since it uses less digits than its factorization.

20021200414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48817 (or 48815 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 20021200414420 its reverse (2441400212002), we get a palindrome (22462600626422).

The spelling of 20021200414420 in words is "twenty trillion, twenty-one billion, two hundred million, four hundred fourteen thousand, four hundred twenty".