13413410352 has 80 divisors (see below), whose sum is σ = 38552993760. Its totient is φ = 4465152000.

The previous prime is 13413410333. The next prime is 13413410369. The reversal of 13413410352 is 25301431431.

It is a happy number.

It is a super-2 number, since 2×13413410352² (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 zygodrome in base 2.

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, 308352 + ... + 349152.

It is an arithmetic number, because the mean of its divisors is an integer number (481912422).

Almost surely, 2^13413410352 is an apocalyptic number.

13413410352 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 13413410352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19276496880).

13413410352 is an abundant number, since it is smaller than the sum of its proper divisors (25139583408).

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

13413410352 is a wasteful number, since it uses less digits than its factorization.

13413410352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41579 (or 41567 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13413410352 its reverse (25301431431), we get a palindrome (38714841783).

The spelling of 13413410352 in words is "thirteen billion, four hundred thirteen million, four hundred ten thousand, three hundred fifty-two".