420034431536 has 80 divisors (see below), whose sum is σ = 859422493440. Its totient is φ = 198320682240.

The previous prime is 420034431511. The next prime is 420034431611. The reversal of 420034431536 is 635134430024.

It is a junction number, because it is equal to n+sod(n) for n = 420034431496 and 420034431505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196185026 + ... + 196187166.

It is an arithmetic number, because the mean of its divisors is an integer number (10742781168).

Almost surely, 2^420034431536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420034431536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429711246720).

420034431536 is an abundant number, since it is smaller than the sum of its proper divisors (439388061904).

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

420034431536 is a wasteful number, since it uses less digits than its factorization.

420034431536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The spelling of 420034431536 in words is "four hundred twenty billion, thirty-four million, four hundred thirty-one thousand, five hundred thirty-six".