421344166320 has 960 divisors, whose sum is σ = 1879835682816. Its totient is φ = 81877893120.

The previous prime is 421344166301. The next prime is 421344166333. The reversal of 421344166320 is 23661443124.

421344166320 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 4 + 4 + 16 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157392822 + ... + 157395498.

Almost surely, 2^421344166320 is an apocalyptic number.

421344166320 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 421344166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939917841408).

421344166320 is an abundant number, since it is smaller than the sum of its proper divisors (1458491516496).

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

421344166320 is a wasteful number, since it uses less digits than its factorization.

421344166320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 421344166320 in words is "four hundred twenty-one billion, three hundred forty-four million, one hundred sixty-six thousand, three hundred twenty".