10433003222400 has 384 divisors, whose sum is σ = 37502553432960. Its totient is φ = 2528209305600.

The previous prime is 10433003222387. The next prime is 10433003222437. The reversal of 10433003222400 is 422230033401.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 285840952 + ... + 285877448.

It is an arithmetic number, because the mean of its divisors is an integer number (97662899565).

Almost surely, 2^{10433003222400} is an apocalyptic number.

10433003222400 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 10433003222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18751276716480).

10433003222400 is an abundant number, since it is smaller than the sum of its proper divisors (27069550210560).

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

10433003222400 is a wasteful number, since it uses less digits than its factorization.

10433003222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39242 (or 39225 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10433003222400 its reverse (422230033401), we get a palindrome (10855233255801).

The spelling of 10433003222400 in words is "ten trillion, four hundred thirty-three billion, three million, two hundred twenty-two thousand, four hundred".