420813132288 has 320 divisors, whose sum is σ = 1209366702720. Its totient is φ = 129553661952.

The previous prime is 420813132281. The next prime is 420813132349. The reversal of 420813132288 is 882231318024.

It is a super-2 number, since 2×420813132288² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420813132281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489886803 + ... + 489887661.

It is an arithmetic number, because the mean of its divisors is an integer number (3779270946).

Almost surely, 2^420813132288 is an apocalyptic number.

420813132288 is a gapful number since it is divisible by the number (48) 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 420813132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604683351360).

420813132288 is an abundant number, since it is smaller than the sum of its proper divisors (788553570432).

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

420813132288 is a wasteful number, since it uses less digits than its factorization.

420813132288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 420813132288 in words is "four hundred twenty billion, eight hundred thirteen million, one hundred thirty-two thousand, two hundred eighty-eight".