420435161534024 has 128 divisors (see below), whose sum is σ = 979886785812480. Its totient is φ = 164671557120000.

The previous prime is 420435161534021. The next prime is 420435161534107.

420435161534024 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (420435161534021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1737566249 + ... + 1737808199.

It is an arithmetic number, because the mean of its divisors is an integer number (7655365514160).

Almost surely, 2^{420435161534024} 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 420435161534024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489943392906240).

420435161534024 is an abundant number, since it is smaller than the sum of its proper divisors (559451624278456).

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

420435161534024 is a wasteful number, since it uses less digits than its factorization.

420435161534024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265711 (or 265707 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 420435161534024 in words is "four hundred twenty trillion, four hundred thirty-five billion, one hundred sixty-one million, five hundred thirty-four thousand, twenty-four".