421116416221536 has 144 divisors (see below), whose sum is σ = 1387376686803744. Its totient is φ = 118670770870272.

The previous prime is 421116416221507. The next prime is 421116416221537. The reversal of 421116416221536 is 635122614611124.

421116416221536 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 1 + 6 + 4 + 1 + 622 + 15 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×421116416221536² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421116416221491 and 421116416221500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421116416221537) 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 23 ways as a sum of consecutive naturals, for example, 1430586471 + ... + 1430880806.

It is an arithmetic number, because the mean of its divisors is an integer number (9634560325026).

Almost surely, 2^{421116416221536} is an apocalyptic number.

It is an amenable number.

421116416221536 is an abundant number, since it is smaller than the sum of its proper divisors (966260270582208).

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

421116416221536 is a wasteful number, since it uses less digits than its factorization.

421116416221536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861467373 (or 2861467362 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 421116416221536 in words is "four hundred twenty-one trillion, one hundred sixteen billion, four hundred sixteen million, two hundred twenty-one thousand, five hundred thirty-six".