34131402024020 has 72 divisors (see below), whose sum is σ = 86253247551240. Its totient is φ = 11298671005440.

The previous prime is 34131402023941. The next prime is 34131402024037. The reversal of 34131402024020 is 2042020413143.

It can be written as a sum of positive squares in 4 ways, for example, as 8313499622596 + 25817902401424 = 2883314^2 + 5081132^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 600453671 + ... + 600510510.

It is an arithmetic number, because the mean of its divisors is an integer number (1197961771545).

Almost surely, 2^{34131402024020} is an apocalyptic number.

It is an amenable number.

34131402024020 is an abundant number, since it is smaller than the sum of its proper divisors (52121845527220).

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

34131402024020 is a wasteful number, since it uses less digits than its factorization.

34131402024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200964233 (or 1200964224 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34131402024020 its reverse (2042020413143), we get a palindrome (36173422437163).

The spelling of 34131402024020 in words is "thirty-four trillion, one hundred thirty-one billion, four hundred two million, twenty-four thousand, twenty".