420830783856 has 600 divisors, whose sum is σ = 1539684072960. Its totient is φ = 110224800000.

The previous prime is 420830783827. The next prime is 420830783897. The reversal of 420830783856 is 658387038024.

420830783856 is a `hidden beast` number, since 4 + 208 + 307 + 83 + 8 + 56 = 666.

420830783856 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37398231 + ... + 37409481.

Almost surely, 2^420830783856 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 420830783856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769842036480).

420830783856 is an abundant number, since it is smaller than the sum of its proper divisors (1118853289104).

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

420830783856 is a wasteful number, since it uses less digits than its factorization.

420830783856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11335 (or 11313 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 420830783856 in words is "four hundred twenty billion, eight hundred thirty million, seven hundred eighty-three thousand, eight hundred fifty-six".