22010143000410 has 192 divisors, whose sum is σ = 59321504904480. Its totient is φ = 5655330938880.

The previous prime is 22010143000409. The next prime is 22010143000481. The reversal of 22010143000410 is 1400034101022.

22010143000410 is a `hidden beast` number, since 220 + 1 + 0 + 1 + 4 + 30 + 0 + 0 + 410 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2539360170369 + 19470782830041 = 1593537^2 + 4412571^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3400296934 + ... + 3400303406.

Almost surely, 2^{22010143000410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010143000410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29660752452240).

22010143000410 is an abundant number, since it is smaller than the sum of its proper divisors (37311361904070).

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

22010143000410 is a wasteful number, since it uses less digits than its factorization.

22010143000410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8993 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22010143000410 its reverse (1400034101022), we get a palindrome (23410177101432).

The spelling of 22010143000410 in words is "twenty-two trillion, ten billion, one hundred forty-three million, four hundred ten", and thus it is an aban number.