420788624256 has 1152 divisors, whose sum is σ = 1673990136000. Its totient is φ = 100739358720.

The previous prime is 420788624251. The next prime is 420788624273. The reversal of 420788624256 is 652426887024.

420788624256 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 8 + 8 + 624 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420788624251) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 621548590 + ... + 621549266.

Almost surely, 2^420788624256 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 420788624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836995068000).

420788624256 is an abundant number, since it is smaller than the sum of its proper divisors (1253201511744).

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

420788624256 is a wasteful number, since it uses less digits than its factorization.

420788624256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 420788624256 in words is "four hundred twenty billion, seven hundred eighty-eight million, six hundred twenty-four thousand, two hundred fifty-six".