10033213214400 has 168 divisors, whose sum is σ = 33016753619904. Its totient is φ = 2667439948800.

The previous prime is 10033213214393. The next prime is 10033213214407. The reversal of 10033213214400 is 441231233001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10033213214393) and next prime (10033213214407).

It is a super-2 number, since 2×10033213214400² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10033213214407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1568682 + ... + 4746281.

Almost surely, 2^{10033213214400} is an apocalyptic number.

10033213214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033213214400 is an abundant number, since it is smaller than the sum of its proper divisors (22983540405504).

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

10033213214400 is a wasteful number, since it uses less digits than its factorization.

10033213214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315319 (or 6315304 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10033213214400 its reverse (441231233001), we get a palindrome (10474444447401).

The spelling of 10033213214400 in words is "ten trillion, thirty-three billion, two hundred thirteen million, two hundred fourteen thousand, four hundred".