420282347520 has 416 divisors, whose sum is σ = 1545622041600. Its totient is φ = 95516098560.

The previous prime is 420282347509. The next prime is 420282347533. The reversal of 420282347520 is 25743282024.

It is a super-3 number, since 3×420282347520³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77841781 + ... + 77847179.

It is an arithmetic number, because the mean of its divisors is an integer number (3715437600).

Almost surely, 2^420282347520 is an apocalyptic number.

420282347520 is a gapful number since it is divisible by the number (40) 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 420282347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772811020800).

420282347520 is an abundant number, since it is smaller than the sum of its proper divisors (1125339694080).

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

420282347520 is a wasteful number, since it uses less digits than its factorization.

420282347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 420282347520 in words is "four hundred twenty billion, two hundred eighty-two million, three hundred forty-seven thousand, five hundred twenty".