420332233024 has 112 divisors (see below), whose sum is σ = 979779965760. Its totient is φ = 176773160960.

The previous prime is 420332232979. The next prime is 420332233133.

420332233024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×420332233024² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420332232983 and 420332233001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408474 + ... + 1003750.

Almost surely, 2^420332233024 is an apocalyptic number.

420332233024 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 420332233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489889982880).

420332233024 is an abundant number, since it is smaller than the sum of its proper divisors (559447732736).

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

420332233024 is a wasteful number, since it uses less digits than its factorization.

420332233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595376 (or 595366 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 420332 and 233024, that added together give a palindrome (653356).

The spelling of 420332233024 in words is "four hundred twenty billion, three hundred thirty-two million, two hundred thirty-three thousand, twenty-four".