820141141028 has 48 divisors (see below), whose sum is σ = 1648754822400. Its totient is φ = 353037048480.

The previous prime is 820141141019. The next prime is 820141141031.

820141141028 is nontrivially palindromic in base 10.

820141141028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 820141140985 and 820141141003.

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, 2038451 + ... + 2407397.

It is an arithmetic number, because the mean of its divisors is an integer number (34349058800).

Almost surely, 2^820141141028 is an apocalyptic number.

It is an amenable number.

820141141028 is an abundant number, since it is smaller than the sum of its proper divisors (828613681372).

820141141028 is a wasteful number, since it uses less digits than its factorization.

820141141028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371640 (or 371638 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

It can be divided in two parts, 820141 and 141028, that added together give a palindrome (961169).

The spelling of 820141141028 in words is "eight hundred twenty billion, one hundred forty-one million, one hundred forty-one thousand, twenty-eight".