421764467124 has 192 divisors, whose sum is σ = 1357045143552. Its totient is φ = 98389209600.

The previous prime is 421764467123. The next prime is 421764467147.

421764467124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421764467123) 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, 30042 + ... + 918929.

It is an arithmetic number, because the mean of its divisors is an integer number (7067943456).

Almost surely, 2^421764467124 is an apocalyptic number.

421764467124 is a gapful number since it is divisible by the number (44) 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 421764467124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678522571776).

421764467124 is an abundant number, since it is smaller than the sum of its proper divisors (935280676428).

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

421764467124 is a wasteful number, since it uses less digits than its factorization.

421764467124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949046 (or 949044 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

It can be divided in two parts, 421764 and 467124, that added together give a palindrome (888888).

The spelling of 421764467124 in words is "four hundred twenty-one billion, seven hundred sixty-four million, four hundred sixty-seven thousand, one hundred twenty-four".