13330302041400 has 288 divisors, whose sum is σ = 44243470141440. Its totient is φ = 3319295293440.

The previous prime is 13330302041351. The next prime is 13330302041423. The reversal of 13330302041400 is 414020303331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 21719139 + ... + 22324461.

Almost surely, 2^{13330302041400} is an apocalyptic number.

13330302041400 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 13330302041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22121735070720).

13330302041400 is an abundant number, since it is smaller than the sum of its proper divisors (30913168100040).

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

13330302041400 is a wasteful number, since it uses less digits than its factorization.

13330302041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605503 (or 605477 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13330302041400 its reverse (414020303331), we get a palindrome (13744322344731).

The spelling of 13330302041400 in words is "thirteen trillion, three hundred thirty billion, three hundred two million, forty-one thousand, four hundred".