13412142024 has 128 divisors (see below), whose sum is σ = 35119440000. Its totient is φ = 4263081984.

The previous prime is 13412141987. The next prime is 13412142067. The reversal of 13412142024 is 42024121431.

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 = 13412141985 and 13412142003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29348004 + ... + 29348460.

It is an arithmetic number, because the mean of its divisors is an integer number (274370625).

Almost surely, 2^13412142024 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 13412142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17559720000).

13412142024 is an abundant number, since it is smaller than the sum of its proper divisors (21707297976).

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

13412142024 is a wasteful number, since it uses less digits than its factorization.

13412142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13412142024 its reverse (42024121431), we get a palindrome (55436263455).

The spelling of 13412142024 in words is "thirteen billion, four hundred twelve million, one hundred forty-two thousand, twenty-four".