351115211332340 has 576 divisors, whose sum is σ = 999906143846400. Its totient is φ = 100647255075840.

The previous prime is 351115211332297. The next prime is 351115211332421. The reversal of 351115211332340 is 43233112511153.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 351115211332340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40362705311 + ... + 40362714009.

It is an arithmetic number, because the mean of its divisors is an integer number (1735948166400).

Almost surely, 2^{351115211332340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351115211332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499953071923200).

351115211332340 is an abundant number, since it is smaller than the sum of its proper divisors (648790932514060).

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

351115211332340 is a wasteful number, since it uses less digits than its factorization.

351115211332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11460 (or 11439 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

Adding to 351115211332340 its reverse (43233112511153), we get a palindrome (394348323843493).

The spelling of 351115211332340 in words is "three hundred fifty-one trillion, one hundred fifteen billion, two hundred eleven million, three hundred thirty-two thousand, three hundred forty".