13434302022400 has 216 divisors, whose sum is σ = 38010824200160. Its totient is φ = 4605011066880.

The previous prime is 13434302022353. The next prime is 13434302022511. The reversal of 13434302022400 is 422020343431.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 214515892 + ... + 214578508.

Almost surely, 2^{13434302022400} is an apocalyptic number.

13434302022400 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 13434302022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19005412100080).

13434302022400 is an abundant number, since it is smaller than the sum of its proper divisors (24576522177760).

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

13434302022400 is an equidigital number, since it uses as much as digits as its factorization.

13434302022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67439 (or 67420 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 13434302022400 its reverse (422020343431), we get a palindrome (13856322365831).

The spelling of 13434302022400 in words is "thirteen trillion, four hundred thirty-four billion, three hundred two million, twenty-two thousand, four hundred".