13455201400 has 48 divisors (see below), whose sum is σ = 31309491600. Its totient is φ = 5377582080.

The previous prime is 13455201379. The next prime is 13455201401. The reversal of 13455201400 is 410255431.

It is a happy number.

13455201400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13455201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217096 + ... + 272104.

It is an arithmetic number, because the mean of its divisors is an integer number (652281075).

Almost surely, 2^13455201400 is an apocalyptic number.

13455201400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13455201400 is an abundant number, since it is smaller than the sum of its proper divisors (17854290200).

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

13455201400 is a wasteful number, since it uses less digits than its factorization.

13455201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56248 (or 56239 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 13455201400 its reverse (410255431), we get a palindrome (13865456831).

The spelling of 13455201400 in words is "thirteen billion, four hundred fifty-five million, two hundred one thousand, four hundred".