13233270415400 has 768 divisors, whose sum is σ = 38086895616000. Its totient is φ = 4176197222400.

The previous prime is 13233270415397. The next prime is 13233270415403. The reversal of 13233270415400 is 451407233231.

It is an interprime number because it is at equal distance from previous prime (13233270415397) and next prime (13233270415403).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (13233270415403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59342019689 + ... + 59342019911.

It is an arithmetic number, because the mean of its divisors is an integer number (49592312000).

Almost surely, 2^{13233270415400} is an apocalyptic number.

13233270415400 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 13233270415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19043447808000).

13233270415400 is an abundant number, since it is smaller than the sum of its proper divisors (24853625200600).

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

13233270415400 is a wasteful number, since it uses less digits than its factorization.

13233270415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

Adding to 13233270415400 its reverse (451407233231), we get a palindrome (13684677648631).

The spelling of 13233270415400 in words is "thirteen trillion, two hundred thirty-three billion, two hundred seventy million, four hundred fifteen thousand, four hundred".