351912870120240 has 720 divisors, whose sum is σ = 1433096367524640. Its totient is φ = 76828997836800.

The previous prime is 351912870120233. The next prime is 351912870120247. The reversal of 351912870120240 is 42021078219153.

351912870120240 is a `hidden beast` number, since 3 + 5 + 1 + 9 + 1 + 287 + 0 + 120 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (351912870120233) and next prime (351912870120247).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (351912870120247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42645651 + ... + 50224269.

It is an arithmetic number, because the mean of its divisors is an integer number (1990411621562).

Almost surely, 2^{351912870120240} is an apocalyptic number.

351912870120240 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 351912870120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716548183762320).

351912870120240 is an abundant number, since it is smaller than the sum of its proper divisors (1081183497404400).

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

351912870120240 is a wasteful number, since it uses less digits than its factorization.

351912870120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578714 (or 7578694 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 351912870120240 in words is "three hundred fifty-one trillion, nine hundred twelve billion, eight hundred seventy million, one hundred twenty thousand, two hundred forty".