13432035421200 has 360 divisors, whose sum is σ = 48820099702528. Its totient is φ = 3151209600000.

The previous prime is 13432035421163. The next prime is 13432035421213. The reversal of 13432035421200 is 212453023431.

It is a super-2 number, since 2×13432035421200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3009150 + ... + 5993250.

Almost surely, 2^{13432035421200} is an apocalyptic number.

13432035421200 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 13432035421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24410049851264).

13432035421200 is an abundant number, since it is smaller than the sum of its proper divisors (35388064281328).

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

13432035421200 is a wasteful number, since it uses less digits than its factorization.

13432035421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984175 (or 2984153 counting only the distinct ones).

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

Adding to 13432035421200 its reverse (212453023431), we get a palindrome (13644488444631).

The spelling of 13432035421200 in words is "thirteen trillion, four hundred thirty-two billion, thirty-five million, four hundred twenty-one thousand, two hundred".