420829456240 has 320 divisors, whose sum is σ = 1081627914240. Its totient is φ = 151760322560.

The previous prime is 420829456141. The next prime is 420829456241. The reversal of 420829456240 is 42654928024.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420829456241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428106789 + ... + 428107771.

It is an arithmetic number, because the mean of its divisors is an integer number (3380087232).

Almost surely, 2^420829456240 is an apocalyptic number.

420829456240 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 420829456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540813957120).

420829456240 is an abundant number, since it is smaller than the sum of its proper divisors (660798458000).

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

420829456240 is a wasteful number, since it uses less digits than its factorization.

420829456240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 420829456240 in words is "four hundred twenty billion, eight hundred twenty-nine million, four hundred fifty-six thousand, two hundred forty".