421821146880 has 1440 divisors, whose sum is σ = 1846263767040. Its totient is φ = 89765314560.

The previous prime is 421821146837. The next prime is 421821146917. The reversal of 421821146880 is 88641128124.

421821146880 is a `hidden beast` number, since 4 + 2 + 182 + 1 + 1 + 468 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2208487585 + ... + 2208487775.

It is an arithmetic number, because the mean of its divisors is an integer number (1282127616).

Almost surely, 2^421821146880 is an apocalyptic number.

421821146880 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 421821146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923131883520).

421821146880 is an abundant number, since it is smaller than the sum of its proper divisors (1424442620160).

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

421821146880 is a wasteful number, since it uses less digits than its factorization.

421821146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 421821146880 in words is "four hundred twenty-one billion, eight hundred twenty-one million, one hundred forty-six thousand, eight hundred eighty".