13400265424 has 80 divisors (see below), whose sum is σ = 32047254400. Its totient is φ = 5285813760.

The previous prime is 13400265409. The next prime is 13400265433. The reversal of 13400265424 is 42456200431.

It is a super-2 number, since 2×13400265424² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494959 + ... + 521329.

It is an arithmetic number, because the mean of its divisors is an integer number (400590680).

Almost surely, 2^13400265424 is an apocalyptic number.

13400265424 is a gapful number since it is divisible by the number (14) 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 13400265424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023627200).

13400265424 is an abundant number, since it is smaller than the sum of its proper divisors (18646988976).

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

13400265424 is a wasteful number, since it uses less digits than its factorization.

13400265424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26748 (or 26742 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 13400265424 its reverse (42456200431), we get a palindrome (55856465855).

The spelling of 13400265424 in words is "thirteen billion, four hundred million, two hundred sixty-five thousand, four hundred twenty-four".