351504042120 has 2304 divisors, whose sum is σ = 1655311956480. Its totient is φ = 63583027200.

The previous prime is 351504042089. The next prime is 351504042151. The reversal of 351504042120 is 21240405153.

351504042120 is a `hidden beast` number, since 35 + 1 + 504 + 0 + 4 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (351504042089) and next prime (351504042151).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3110655184 + ... + 3110655296.

It is an arithmetic number, because the mean of its divisors is an integer number (718451370).

Almost surely, 2^351504042120 is an apocalyptic number.

351504042120 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 351504042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827655978240).

351504042120 is an abundant number, since it is smaller than the sum of its proper divisors (1303807914360).

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

351504042120 is a wasteful number, since it uses less digits than its factorization.

351504042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 351504042120 its reverse (21240405153), we get a palindrome (372744447273).

The spelling of 351504042120 in words is "three hundred fifty-one billion, five hundred four million, forty-two thousand, one hundred twenty".