34031221431042 has 256 divisors, whose sum is σ = 78341948375040. Its totient is φ = 9764649484800.

The previous prime is 34031221431013. The next prime is 34031221431049. The reversal of 34031221431042 is 24013412213043.

It is a super-2 number, since 2×34031221431042² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34031221431049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8355318718 + ... + 8355322790.

It is an arithmetic number, because the mean of its divisors is an integer number (306023235840).

Almost surely, 2^{34031221431042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34031221431042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39170974187520).

34031221431042 is an abundant number, since it is smaller than the sum of its proper divisors (44310726943998).

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

34031221431042 is a wasteful number, since it uses less digits than its factorization.

34031221431042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34031221431042 its reverse (24013412213043), we get a palindrome (58044633644085).

The spelling of 34031221431042 in words is "thirty-four trillion, thirty-one billion, two hundred twenty-one million, four hundred thirty-one thousand, forty-two".