13435140541200 has 120 divisors (see below), whose sum is σ = 49185409783488. Its totient is φ = 3070889264640.

The previous prime is 13435140541189. The next prime is 13435140541213. The reversal of 13435140541200 is 214504153431.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799702347 + ... + 799719146.

Almost surely, 2^{13435140541200} is an apocalyptic number.

13435140541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13435140541200 is an abundant number, since it is smaller than the sum of its proper divisors (35750269242288).

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

13435140541200 is a wasteful number, since it uses less digits than its factorization.

13435140541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599421521 (or 1599421510 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 13435140541200 its reverse (214504153431), we get a palindrome (13649644694631).

The spelling of 13435140541200 in words is "thirteen trillion, four hundred thirty-five billion, one hundred forty million, five hundred forty-one thousand, two hundred".