12965342040 has 768 divisors, whose sum is σ = 52835328000. Its totient is φ = 2694021120.

The previous prime is 12965342017. The next prime is 12965342059. The reversal of 12965342040 is 4024356921.

It is a happy number.

12965342040 is a `hidden beast` number, since 12 + 96 + 534 + 20 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12965341986 and 12965342004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133663272 + ... + 133663368.

It is an arithmetic number, because the mean of its divisors is an integer number (68796000).

Almost surely, 2^12965342040 is an apocalyptic number.

12965342040 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 12965342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664000).

12965342040 is an abundant number, since it is smaller than the sum of its proper divisors (39869985960).

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

12965342040 is a wasteful number, since it uses less digits than its factorization.

12965342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 12965342040 its reverse (4024356921), we get a palindrome (16989698961).

The spelling of 12965342040 in words is "twelve billion, nine hundred sixty-five million, three hundred forty-two thousand, forty".