13135971406400 has 168 divisors, whose sum is σ = 32453101707840. Its totient is φ = 5233227274240.

The previous prime is 13135971406373. The next prime is 13135971406403. The reversal of 13135971406400 is 460417953131.

It is not an unprimeable number, because it can be changed into a prime (13135971406403) 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, 475014974 + ... + 475042626.

Almost surely, 2^{13135971406400} is an apocalyptic number.

13135971406400 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 13135971406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226550853920).

13135971406400 is an abundant number, since it is smaller than the sum of its proper divisors (19317130301440).

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

13135971406400 is a wasteful number, since it uses less digits than its factorization.

13135971406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28861 (or 28846 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 13135971406400 in words is "thirteen trillion, one hundred thirty-five billion, nine hundred seventy-one million, four hundred six thousand, four hundred".