420942247640992 has 288 divisors, whose sum is σ = 1062777478896000. Its totient is φ = 160592661166080.

The previous prime is 420942247640987. The next prime is 420942247641061. The reversal of 420942247640992 is 299046742249024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730896759 + ... + 731472457.

It is an arithmetic number, because the mean of its divisors is an integer number (3690199579500).

Almost surely, 2^{420942247640992} 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 420942247640992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531388739448000).

420942247640992 is an abundant number, since it is smaller than the sum of its proper divisors (641835231255008).

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

420942247640992 is a wasteful number, since it uses less digits than its factorization.

420942247640992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576300 (or 576281 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 64.

The spelling of 420942247640992 in words is "four hundred twenty trillion, nine hundred forty-two billion, two hundred forty-seven million, six hundred forty thousand, nine hundred ninety-two".