6421200122040 has 256 divisors, whose sum is σ = 22124129011200. Its totient is φ = 1474508851200.

The previous prime is 6421200121937. The next prime is 6421200122087. The reversal of 6421200122040 is 402210021246.

It is a happy number.

It is a super-2 number, since 2×6421200122040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6421200122040.

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, 224025310 + ... + 224053970.

It is an arithmetic number, because the mean of its divisors is an integer number (86422378950).

Almost surely, 2^{6421200122040} is an apocalyptic number.

6421200122040 is a gapful number since it is divisible by the number (60) 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 6421200122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11062064505600).

6421200122040 is an abundant number, since it is smaller than the sum of its proper divisors (15702928889160).

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

6421200122040 is a wasteful number, since it uses less digits than its factorization.

6421200122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37638 (or 37634 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 6421200122040 its reverse (402210021246), we get a palindrome (6823410143286).

The spelling of 6421200122040 in words is "six trillion, four hundred twenty-one billion, two hundred million, one hundred twenty-two thousand, forty".