350431740120 has 256 divisors, whose sum is σ = 1311203635200. Its totient is φ = 72789327360.

The previous prime is 350431740119. The next prime is 350431740193. The reversal of 350431740120 is 21047134053.

It is a happy number.

It is a super-2 number, since 2×350431740120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32029611 + ... + 32040549.

It is an arithmetic number, because the mean of its divisors is an integer number (5121889200).

Almost surely, 2^350431740120 is an apocalyptic number.

350431740120 is a gapful number since it is divisible by the number (30) 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 350431740120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655601817600).

350431740120 is an abundant number, since it is smaller than the sum of its proper divisors (960771895080).

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

350431740120 is a wasteful number, since it uses less digits than its factorization.

350431740120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14438 (or 14434 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 350431740120 its reverse (21047134053), we get a palindrome (371478874173).

The spelling of 350431740120 in words is "three hundred fifty billion, four hundred thirty-one million, seven hundred forty thousand, one hundred twenty".