13435461400 has 24 divisors (see below), whose sum is σ = 31237448220. Its totient is φ = 5374184480.

The previous prime is 13435461397. The next prime is 13435461401. The reversal of 13435461400 is 416453431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13435461401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33588454 + ... + 33588853.

Almost surely, 2^13435461400 is an apocalyptic number.

13435461400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13435461400 is an abundant number, since it is smaller than the sum of its proper divisors (17801986820).

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

13435461400 is a wasteful number, since it uses less digits than its factorization.

13435461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67177323 (or 67177314 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 13435461400 in words is "thirteen billion, four hundred thirty-five million, four hundred sixty-one thousand, four hundred".