421963886880 has 432 divisors, whose sum is σ = 1485958514040. Its totient is φ = 109029556224.

The previous prime is 421963886867. The next prime is 421963886891. The reversal of 421963886880 is 88688369124.

421963886880 is a `hidden beast` number, since 4 + 2 + 196 + 388 + 68 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 343391312016 + 78572574864 = 585996^2 + 280308^2 .

It is a super-2 number, since 2×421963886880² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 346724032 + ... + 346725248.

Almost surely, 2^421963886880 is an apocalyptic number.

421963886880 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 421963886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742979257020).

421963886880 is an abundant number, since it is smaller than the sum of its proper divisors (1063994627160).

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

421963886880 is a wasteful number, since it uses less digits than its factorization.

421963886880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 421963886880 in words is "four hundred twenty-one billion, nine hundred sixty-three million, eight hundred eighty-six thousand, eight hundred eighty".