351131217840 has 640 divisors, whose sum is σ = 1396710604800. Its totient is φ = 80309698560.

The previous prime is 351131217839. The next prime is 351131217863. The reversal of 351131217840 is 48712131153.

351131217840 is a `hidden beast` number, since 3 + 511 + 31 + 2 + 1 + 78 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 351131217795 and 351131217804.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 37706785 + ... + 37716095.

It is an arithmetic number, because the mean of its divisors is an integer number (2182360320).

Almost surely, 2^351131217840 is an apocalyptic number.

351131217840 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 351131217840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698355302400).

351131217840 is an abundant number, since it is smaller than the sum of its proper divisors (1045579386960).

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

351131217840 is a wasteful number, since it uses less digits than its factorization.

351131217840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9442 (or 9430 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 351131217840 its reverse (48712131153), we get a palindrome (399843348993).

The spelling of 351131217840 in words is "three hundred fifty-one billion, one hundred thirty-one million, two hundred seventeen thousand, eight hundred forty".