350405431044030 has 144 divisors (see below), whose sum is σ = 945082464051024. Its totient is φ = 90073094791680.

The previous prime is 350405431044013. The next prime is 350405431044133. The reversal of 350405431044030 is 30440134504053.

350405431044030 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 0 + 543 + 104 + 4 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×350405431044030² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42949125 + ... + 50452335.

It is an arithmetic number, because the mean of its divisors is an integer number (6563072667021).

Almost surely, 2^{350405431044030} is an apocalyptic number.

350405431044030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 350405431044030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472541232025512).

350405431044030 is an abundant number, since it is smaller than the sum of its proper divisors (594677033006994).

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

350405431044030 is a wasteful number, since it uses less digits than its factorization.

350405431044030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503899 (or 7503867 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 350405431044030 its reverse (30440134504053), we get a palindrome (380845565548083).

The spelling of 350405431044030 in words is "three hundred fifty trillion, four hundred five billion, four hundred thirty-one million, forty-four thousand, thirty".