421142620120992 has 864 divisors, whose sum is σ = 1577212208732160. Its totient is φ = 109310111608320.

The previous prime is 421142620120987. The next prime is 421142620121009. The reversal of 421142620120992 is 299021026241124.

421142620120992 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 4 + 2 + 620 + 12 + 0 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-4 number, since 4×421142620120992⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6031193983 + ... + 6031263809.

It is an arithmetic number, because the mean of its divisors is an integer number (1825477093440).

Almost surely, 2^{421142620120992} is an apocalyptic number.

421142620120992 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 421142620120992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788606104366080).

421142620120992 is an abundant number, since it is smaller than the sum of its proper divisors (1156069588611168).

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

421142620120992 is a wasteful number, since it uses less digits than its factorization.

421142620120992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71316 (or 71289 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 421142620120992 in words is "four hundred twenty-one trillion, one hundred forty-two billion, six hundred twenty million, one hundred twenty thousand, nine hundred ninety-two".