421734382272 has 700 divisors, whose sum is σ = 1506848188736. Its totient is φ = 116501898240.

The previous prime is 421734382271. The next prime is 421734382283. The reversal of 421734382272 is 272283437124.

421734382272 is a `hidden beast` number, since 4 + 217 + 34 + 382 + 27 + 2 = 666.

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

Its product of digits (903168) is a multiple of the sum of its prime factors (1176).

It is not an unprimeable number, because it can be changed into a prime (421734382271) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 385849758 + ... + 385850850.

Almost surely, 2^421734382272 is an apocalyptic number.

421734382272 is a gapful number since it is divisible by the number (42) 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 421734382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753424094368).

421734382272 is an abundant number, since it is smaller than the sum of its proper divisors (1085113806464).

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

421734382272 is an equidigital number, since it uses as much as digits as its factorization.

421734382272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1136 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 421734382272 in words is "four hundred twenty-one billion, seven hundred thirty-four million, three hundred eighty-two thousand, two hundred seventy-two".