350444032540100 has 144 divisors (see below), whose sum is σ = 815421564679680. Its totient is φ = 130256655360000.

The previous prime is 350444032540051. The next prime is 350444032540157. The reversal of 350444032540100 is 1045230444053.

It is a super-2 number, since 2×350444032540100² (a number of 30 digits) contains 22 as substring.

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, 5675084225 + ... + 5675145975.

It is an arithmetic number, because the mean of its divisors is an integer number (5662649754720).

Almost surely, 2^{350444032540100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350444032540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407710782339840).

350444032540100 is an abundant number, since it is smaller than the sum of its proper divisors (464977532139580).

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

350444032540100 is a wasteful number, since it uses less digits than its factorization.

350444032540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104118 (or 104111 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 350444032540100 its reverse (1045230444053), we get a palindrome (351489262984153).

The spelling of 350444032540100 in words is "three hundred fifty trillion, four hundred forty-four billion, thirty-two million, five hundred forty thousand, one hundred".