420141141024 has 96 divisors (see below), whose sum is σ = 1207813674816. Its totient is φ = 126820024320.

The previous prime is 420141140957. The next prime is 420141141041.

420141141024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 420141140985 and 420141141003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502657 + ... + 1045440.

It is an arithmetic number, because the mean of its divisors is an integer number (12581392446).

Almost surely, 2^420141141024 is an apocalyptic number.

420141141024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420141141024 is an abundant number, since it is smaller than the sum of its proper divisors (787672533792).

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

420141141024 is a wasteful number, since it uses less digits than its factorization.

420141141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548378 (or 1548370 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 420141 and 141024, that added together give a palindrome (561165).

The spelling of 420141141024 in words is "four hundred twenty billion, one hundred forty-one million, one hundred forty-one thousand, twenty-four".