10222033412040 has 128 divisors (see below), whose sum is σ = 31729011552000. Its totient is φ = 2631426925568.

The previous prime is 10222033412033. The next prime is 10222033412117. The reversal of 10222033412040 is 4021433022201.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10222033412040.

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 31 ways as a sum of consecutive naturals, for example, 20209102 + ... + 20708738.

It is an arithmetic number, because the mean of its divisors is an integer number (247882902750).

Almost surely, 2^{10222033412040} is an apocalyptic number.

10222033412040 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 10222033412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864505776000).

10222033412040 is an abundant number, since it is smaller than the sum of its proper divisors (21506978139960).

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

10222033412040 is a wasteful number, since it uses less digits than its factorization.

10222033412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505559 (or 505555 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10222033412040 its reverse (4021433022201), we get a palindrome (14243466434241).

The spelling of 10222033412040 in words is "ten trillion, two hundred twenty-two billion, thirty-three million, four hundred twelve thousand, forty".