413234120024 has 64 divisors (see below), whose sum is σ = 887306572800. Its totient is φ = 178693545600.

The previous prime is 413234120023. The next prime is 413234120059. The reversal of 413234120024 is 420021432314.

It is a junction number, because it is equal to n+sod(n) for n = 413234119975 and 413234120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413234120023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122767 + ... + 1444670.

It is an arithmetic number, because the mean of its divisors is an integer number (13864165200).

Almost surely, 2^413234120024 is an apocalyptic number.

413234120024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413234120024 is an abundant number, since it is smaller than the sum of its proper divisors (474072452776).

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

413234120024 is a wasteful number, since it uses less digits than its factorization.

413234120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567544 (or 2567540 counting only the distinct ones).

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

Adding to 413234120024 its reverse (420021432314), we get a palindrome (833255552338).

The spelling of 413234120024 in words is "four hundred thirteen billion, two hundred thirty-four million, one hundred twenty thousand, twenty-four".