350222031121040 has 80 divisors (see below), whose sum is σ = 886754918271600. Its totient is φ = 127859797671936.

The previous prime is 350222031121033. The next prime is 350222031121043. The reversal of 350222031121040 is 40121130222053.

It can be written as a sum of positive squares in 8 ways, for example, as 42074059548304 + 308147971572736 = 6486452^2 + 17554144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (350222031121043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1891772345 + ... + 1891957464.

It is an arithmetic number, because the mean of its divisors is an integer number (11084436478395).

Almost surely, 2^{350222031121040} is an apocalyptic number.

It is an amenable number.

350222031121040 is an abundant number, since it is smaller than the sum of its proper divisors (536532887150560).

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

350222031121040 is a wasteful number, since it uses less digits than its factorization.

350222031121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783729924 (or 3783729918 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 350222031121040 its reverse (40121130222053), we get a palindrome (390343161343093).

The spelling of 350222031121040 in words is "three hundred fifty trillion, two hundred twenty-two billion, thirty-one million, one hundred twenty-one thousand, forty".