351165012240 has 320 divisors, whose sum is σ = 1276861132800. Its totient is φ = 78179530752.

The previous prime is 351165012229. The next prime is 351165012241. The reversal of 351165012240 is 42210561153.

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 = 351165012198 and 351165012207.

It is not an unprimeable number, because it can be changed into a prime (351165012241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10787829 + ... + 10820331.

It is an arithmetic number, because the mean of its divisors is an integer number (3990191040).

Almost surely, 2^351165012240 is an apocalyptic number.

351165012240 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 351165012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638430566400).

351165012240 is an abundant number, since it is smaller than the sum of its proper divisors (925696120560).

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

351165012240 is a wasteful number, since it uses less digits than its factorization.

351165012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32694 (or 32688 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 351165012240 its reverse (42210561153), we get a palindrome (393375573393).

The spelling of 351165012240 in words is "three hundred fifty-one billion, one hundred sixty-five million, twelve thousand, two hundred forty".