351033421049640 has 1152 divisors, whose sum is σ = 1365971862078720. Its totient is φ = 77923980288000.

The previous prime is 351033421049639. The next prime is 351033421049741. The reversal of 351033421049640 is 46940124330153.

351033421049640 is a `hidden beast` number, since 3 + 5 + 1 + 0 + 334 + 210 + 49 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 91153833715 + ... + 91153837565.

It is an arithmetic number, because the mean of its divisors is an integer number (1185739463610).

Almost surely, 2^{351033421049640} is an apocalyptic number.

351033421049640 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 351033421049640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682985931039360).

351033421049640 is an abundant number, since it is smaller than the sum of its proper divisors (1014938441029080).

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

351033421049640 is a wasteful number, since it uses less digits than its factorization.

351033421049640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 351033421049640 its reverse (46940124330153), we get a palindrome (397973545379793).

The spelling of 351033421049640 in words is "three hundred fifty-one trillion, thirty-three billion, four hundred twenty-one million, forty-nine thousand, six hundred forty".