221421207431340 has 576 divisors, whose sum is σ = 835440916907520. Its totient is φ = 48500849779200.

The previous prime is 221421207431309. The next prime is 221421207431363. The reversal of 221421207431340 is 43134702124122.

221421207431340 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 212 + 0 + 7 + 431 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×221421207431340² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221421207431295 and 221421207431304.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58466415 + ... + 62138265.

It is an arithmetic number, because the mean of its divisors is an integer number (1450418258520).

Almost surely, 2^{221421207431340} is an apocalyptic number.

221421207431340 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 221421207431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417720458453760).

221421207431340 is an abundant number, since it is smaller than the sum of its proper divisors (614019709476180).

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

221421207431340 is a wasteful number, since it uses less digits than its factorization.

221421207431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671979 (or 3671964 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 221421207431340 its reverse (43134702124122), we get a palindrome (264555909555462).

The spelling of 221421207431340 in words is "two hundred twenty-one trillion, four hundred twenty-one billion, two hundred seven million, four hundred thirty-one thousand, three hundred forty".