350250313140 has 720 divisors, whose sum is σ = 1368671230080. Its totient is φ = 73414149120.

The previous prime is 350250313099. The next prime is 350250313159. The reversal of 350250313140 is 41313052053.

350250313140 is a `hidden beast` number, since 3 + 5 + 0 + 2 + 503 + 13 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 343045830 + ... + 343046850.

It is an arithmetic number, because the mean of its divisors is an integer number (1900932264).

Almost surely, 2^350250313140 is an apocalyptic number.

350250313140 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 350250313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684335615040).

350250313140 is an abundant number, since it is smaller than the sum of its proper divisors (1018420916940).

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

350250313140 is a wasteful number, since it uses less digits than its factorization.

350250313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 350250313140 its reverse (41313052053), we get a palindrome (391563365193).

The spelling of 350250313140 in words is "three hundred fifty billion, two hundred fifty million, three hundred thirteen thousand, one hundred forty".