13040966126400 has 168 divisors, whose sum is σ = 42898132156320. Its totient is φ = 3468414781440.

The previous prime is 13040966126329. The next prime is 13040966126407. The reversal of 13040966126400 is 462166904031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040966126407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1765059 + ... + 5403458.

It is an arithmetic number, because the mean of its divisors is an integer number (255346024740).

Almost surely, 2^{13040966126400} is an apocalyptic number.

13040966126400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13040966126400 is an abundant number, since it is smaller than the sum of its proper divisors (29857166029920).

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

13040966126400 is a wasteful number, since it uses less digits than its factorization.

13040966126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168921 (or 7168906 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 13040966126400 in words is "thirteen trillion, forty billion, nine hundred sixty-six million, one hundred twenty-six thousand, four hundred".