434331303133434 has 64 divisors (see below), whose sum is σ = 1006750020003840. Its totient is φ = 122345599199040.

The previous prime is 434331303133393. The next prime is 434331303133451.

434331303133434 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314367957 + ... + 315746535.

It is an arithmetic number, because the mean of its divisors is an integer number (15730469062560).

Almost surely, 2^{434331303133434} is an apocalyptic number.

434331303133434 is an abundant number, since it is smaller than the sum of its proper divisors (572418716870406).

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

434331303133434 is a wasteful number, since it uses less digits than its factorization.

434331303133434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484315.

The product of its (nonzero) digits is 1679616, while the sum is 42.

It can be divided in two parts, 43433130 and 3133434, that added together give a palindrome (46566564).

The spelling of 434331303133434 in words is "four hundred thirty-four trillion, three hundred thirty-one billion, three hundred three million, one hundred thirty-three thousand, four hundred thirty-four".