13024336140 has 384 divisors, whose sum is σ = 44198784000. Its totient is φ = 3171889152.

The previous prime is 13024336133. The next prime is 13024336141. The reversal of 13024336140 is 4163342031.

13024336140 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 43 + 3 + 614 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13024336141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75285094 + ... + 75285266.

It is an arithmetic number, because the mean of its divisors is an integer number (115101000).

Almost surely, 2^13024336140 is an apocalyptic number.

13024336140 is a gapful number since it is divisible by the number (10) 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 13024336140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22099392000).

13024336140 is an abundant number, since it is smaller than the sum of its proper divisors (31174447860).

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

13024336140 is a wasteful number, since it uses less digits than its factorization.

13024336140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13024336140 its reverse (4163342031), we get a palindrome (17187678171).

The spelling of 13024336140 in words is "thirteen billion, twenty-four million, three hundred thirty-six thousand, one hundred forty".