420552255024 has 240 divisors, whose sum is σ = 1310525049600. Its totient is φ = 124811880960.

The previous prime is 420552254989. The next prime is 420552255073.

420552255024 is a `hidden beast` number, since 420 + 5 + 5 + 225 + 5 + 0 + 2 + 4 = 666.

420552255024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 420552255024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50283067 + ... + 50291429.

It is an arithmetic number, because the mean of its divisors is an integer number (5460521040).

Almost surely, 2^420552255024 is an apocalyptic number.

420552255024 is a gapful number since it is divisible by the number (44) 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 420552255024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655262524800).

420552255024 is an abundant number, since it is smaller than the sum of its proper divisors (889972794576).

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

420552255024 is a wasteful number, since it uses less digits than its factorization.

420552255024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040 (or 9031 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 420552 and 255024, that added together give a palindrome (675576).

The spelling of 420552255024 in words is "four hundred twenty billion, five hundred fifty-two million, two hundred fifty-five thousand, twenty-four".