421968206592 has 360 divisors, whose sum is σ = 1302855345792. Its totient is φ = 135696384000.

The previous prime is 421968206581. The next prime is 421968206617. The reversal of 421968206592 is 295602869124.

421968206592 is a `hidden beast` number, since 4 + 21 + 9 + 6 + 8 + 20 + 6 + 592 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 257768398 + ... + 257770034.

Almost surely, 2^421968206592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421968206592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651427672896).

421968206592 is an abundant number, since it is smaller than the sum of its proper divisors (880887139200).

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

421968206592 is a wasteful number, since it uses less digits than its factorization.

421968206592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 421968206592 in words is "four hundred twenty-one billion, nine hundred sixty-eight million, two hundred six thousand, five hundred ninety-two".