13144312412040 has 32 divisors (see below), whose sum is σ = 39432937236480. Its totient is φ = 3505149976512.

The previous prime is 13144312411991. The next prime is 13144312412093. The reversal of 13144312412040 is 4021421344131.

It is a happy number.

13144312412040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13144312411989 and 13144312412007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54767968264 + ... + 54767968503.

It is an arithmetic number, because the mean of its divisors is an integer number (1232279288640).

Almost surely, 2^{13144312412040} is an apocalyptic number.

13144312412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144312412040 is an abundant number, since it is smaller than the sum of its proper divisors (26288624824440).

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

13144312412040 is a wasteful number, since it uses less digits than its factorization.

13144312412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109535936781 (or 109535936777 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13144312412040 its reverse (4021421344131), we get a palindrome (17165733756171).

The spelling of 13144312412040 in words is "thirteen trillion, one hundred forty-four billion, three hundred twelve million, four hundred twelve thousand, forty".