421921392161472 has 336 divisors, whose sum is σ = 1432172112983040. Its totient is φ = 116255051587584.

The previous prime is 421921392161443. The next prime is 421921392161513. The reversal of 421921392161472 is 274161293129124.

421921392161472 is a `hidden beast` number, since 4 + 2 + 1 + 9 + 2 + 1 + 3 + 9 + 2 + 161 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×421921392161472² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1705593 + ... + 29099000.

Almost surely, 2^{421921392161472} is an apocalyptic number.

421921392161472 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 421921392161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716086056491520).

421921392161472 is an abundant number, since it is smaller than the sum of its proper divisors (1010250720821568).

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

421921392161472 is a wasteful number, since it uses less digits than its factorization.

421921392161472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30804740 (or 30804727 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 421921392161472 in words is "four hundred twenty-one trillion, nine hundred twenty-one billion, three hundred ninety-two million, one hundred sixty-one thousand, four hundred seventy-two".