10215433122400 has 144 divisors (see below), whose sum is σ = 27210651375600. Its totient is φ = 3714007193600.

The previous prime is 10215433122379. The next prime is 10215433122437. The reversal of 10215433122400 is 422133451201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48091626 + ... + 48303574.

It is an arithmetic number, because the mean of its divisors is an integer number (188962856775).

Almost surely, 2^{10215433122400} is an apocalyptic number.

10215433122400 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 10215433122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605325687800).

10215433122400 is an abundant number, since it is smaller than the sum of its proper divisors (16995218253200).

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

10215433122400 is a wasteful number, since it uses less digits than its factorization.

10215433122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217457 (or 217444 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 10215433122400 its reverse (422133451201), we get a palindrome (10637566573601).

The spelling of 10215433122400 in words is "ten trillion, two hundred fifteen billion, four hundred thirty-three million, one hundred twenty-two thousand, four hundred".