351142313020320 has 384 divisors, whose sum is σ = 1161335791042560. Its totient is φ = 89012391874560.

The previous prime is 351142313020283. The next prime is 351142313020361. The reversal of 351142313020320 is 23020313241153.

It is a super-3 number, since 3×351142313020320³ (a number of 45 digits) contains 333 as substring.

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

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, 10732044921 + ... + 10732077639.

It is an arithmetic number, because the mean of its divisors is an integer number (3024311955840).

Almost surely, 2^{351142313020320} is an apocalyptic number.

351142313020320 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 351142313020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580667895521280).

351142313020320 is an abundant number, since it is smaller than the sum of its proper divisors (810193478022240).

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

351142313020320 is a wasteful number, since it uses less digits than its factorization.

351142313020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38748 (or 38740 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 351142313020320 its reverse (23020313241153), we get a palindrome (374162626261473).

The spelling of 351142313020320 in words is "three hundred fifty-one trillion, one hundred forty-two billion, three hundred thirteen million, twenty thousand, three hundred twenty".