13042415232 has 960 divisors, whose sum is σ = 52944217920. Its totient is φ = 3085516800.

The previous prime is 13042415203. The next prime is 13042415237. The reversal of 13042415232 is 23251424031.

13042415232 is a `hidden beast` number, since 1 + 3 + 0 + 424 + 1 + 5 + 232 = 666.

It is a super-2 number, since 2×13042415232² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13042415196 and 13042415205.

It is not an unprimeable number, because it can be changed into a prime (13042415237) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 420723057 + ... + 420723087.

It is an arithmetic number, because the mean of its divisors is an integer number (55150227).

Almost surely, 2^13042415232 is an apocalyptic number.

13042415232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13042415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26472108960).

13042415232 is an abundant number, since it is smaller than the sum of its proper divisors (39901802688).

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

13042415232 is a wasteful number, since it uses less digits than its factorization.

13042415232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13042415232 its reverse (23251424031), we get a palindrome (36293839263).

The spelling of 13042415232 in words is "thirteen billion, forty-two million, four hundred fifteen thousand, two hundred thirty-two".