421431828480 has 672 divisors, whose sum is σ = 1632018888864. Its totient is φ = 103705214976.

The previous prime is 421431828451. The next prime is 421431828487. The reversal of 421431828480 is 84828134124.

421431828480 is a `hidden beast` number, since 4 + 2 + 143 + 1 + 8 + 28 + 480 = 666.

It is a super-2 number, since 2×421431828480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421431828487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129391012 + ... + 129394268.

It is an arithmetic number, because the mean of its divisors is an integer number (2428599537).

Almost surely, 2^421431828480 is an apocalyptic number.

421431828480 is a gapful number since it is divisible by the number (40) 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 421431828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816009444432).

421431828480 is an abundant number, since it is smaller than the sum of its proper divisors (1210587060384).

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

421431828480 is an equidigital number, since it uses as much as digits as its factorization.

421431828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 421431828480 in words is "four hundred twenty-one billion, four hundred thirty-one million, eight hundred twenty-eight thousand, four hundred eighty".