421255501327764 has 192 divisors, whose sum is σ = 1142950614220800. Its totient is φ = 133922192431104.

The previous prime is 421255501327763. The next prime is 421255501327777. The reversal of 421255501327764 is 467723105552124.

421255501327764 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 5 + 5 + 501 + 3 + 2 + 77 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 421255501327764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421255501327763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1726101492 + ... + 1726345524.

It is an arithmetic number, because the mean of its divisors is an integer number (5952867782400).

Almost surely, 2^{421255501327764} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421255501327764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571475307110400).

421255501327764 is an abundant number, since it is smaller than the sum of its proper divisors (721695112893036).

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

421255501327764 is a wasteful number, since it uses less digits than its factorization.

421255501327764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246091 (or 246083 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

Adding to 421255501327764 its reverse (467723105552124), we get a palindrome (888978606879888).

The spelling of 421255501327764 in words is "four hundred twenty-one trillion, two hundred fifty-five billion, five hundred one million, three hundred twenty-seven thousand, seven hundred sixty-four".