420043044342320 has 160 divisors (see below), whose sum is σ = 1117983444480000. Its totient is φ = 143773739670528.

The previous prime is 420043044342289. The next prime is 420043044342359. The reversal of 420043044342320 is 23243440340024.

It is a super-2 number, since 2×420043044342320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1070525531 + ... + 1070917829.

It is an arithmetic number, because the mean of its divisors is an integer number (6987396528000).

Almost surely, 2^{420043044342320} is an apocalyptic number.

420043044342320 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 420043044342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558991722240000).

420043044342320 is an abundant number, since it is smaller than the sum of its proper divisors (697940400137680).

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

420043044342320 is a wasteful number, since it uses less digits than its factorization.

420043044342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395515 (or 395509 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 35.

Adding to 420043044342320 its reverse (23243440340024), we get a palindrome (443286484682344).

The spelling of 420043044342320 in words is "four hundred twenty trillion, forty-three billion, forty-four million, three hundred forty-two thousand, three hundred twenty".