13153412040 has 128 divisors (see below), whose sum is σ = 43598165760. Its totient is φ = 3157704704.

The previous prime is 13153412021. The next prime is 13153412047. The reversal of 13153412040 is 4021435131.

It is a happy number.

It is a super-3 number, since 3×13153412040³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13153412040.

It is not an unprimeable number, because it can be changed into a prime (13153412047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93249 + ... + 187088.

It is an arithmetic number, because the mean of its divisors is an integer number (340610670).

Almost surely, 2^13153412040 is an apocalyptic number.

13153412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13153412040 is an abundant number, since it is smaller than the sum of its proper divisors (30444753720).

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

13153412040 is a wasteful number, since it uses less digits than its factorization.

13153412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280391 (or 280387 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13153412040 its reverse (4021435131), we get a palindrome (17174847171).

The spelling of 13153412040 in words is "thirteen billion, one hundred fifty-three million, four hundred twelve thousand, forty".