13435232210400 has 1152 divisors, whose sum is σ = 58855033036800. Its totient is φ = 2570915635200.

The previous prime is 13435232210399. The next prime is 13435232210437. The reversal of 13435232210400 is 401223253431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1054647231 + ... + 1054659969.

It is an arithmetic number, because the mean of its divisors is an integer number (51089438400).

Almost surely, 2^{13435232210400} is an apocalyptic number.

13435232210400 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 13435232210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29427516518400).

13435232210400 is an abundant number, since it is smaller than the sum of its proper divisors (45419800826400).

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

13435232210400 is a wasteful number, since it uses less digits than its factorization.

13435232210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13232 (or 13219 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13435232210400 its reverse (401223253431), we get a palindrome (13836455463831).

The spelling of 13435232210400 in words is "thirteen trillion, four hundred thirty-five billion, two hundred thirty-two million, two hundred ten thousand, four hundred".