350234124240 has 960 divisors, whose sum is σ = 1540041431040. Its totient is φ = 63412346880.

The previous prime is 350234124199. The next prime is 350234124257. The reversal of 350234124240 is 42421432053.

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

It is a junction number, because it is equal to n+sod(n) for n = 350234124198 and 350234124207.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1264382982 + ... + 1264383258.

It is an arithmetic number, because the mean of its divisors is an integer number (1604209824).

Almost surely, 2^350234124240 is an apocalyptic number.

350234124240 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 350234124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770020715520).

350234124240 is an abundant number, since it is smaller than the sum of its proper divisors (1189807306800).

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

350234124240 is a wasteful number, since it uses less digits than its factorization.

350234124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 350234124240 its reverse (42421432053), we get a palindrome (392655556293).

It can be divided in two parts, 350234 and 124240, that added together give a palindrome (474474).

The spelling of 350234124240 in words is "three hundred fifty billion, two hundred thirty-four million, one hundred twenty-four thousand, two hundred forty".