434300434132000 has 96 divisors (see below), whose sum is σ = 1067646509040384. Its totient is φ = 173627321824000.

The previous prime is 434300434131881. The next prime is 434300434132009. The reversal of 434300434132000 is 231434003434.

It is not an unprimeable number, because it can be changed into a prime (434300434132009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21531262 + ... + 36499261.

It is an arithmetic number, because the mean of its divisors is an integer number (11121317802504).

Almost surely, 2^{434300434132000} is an apocalyptic number.

434300434132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434300434132000 is an abundant number, since it is smaller than the sum of its proper divisors (633346074908384).

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

434300434132000 is a wasteful number, since it uses less digits than its factorization.

434300434132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58032419 (or 58032401 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 434300434132000 its reverse (231434003434), we get a palindrome (434531868135434).

The spelling of 434300434132000 in words is "four hundred thirty-four trillion, three hundred billion, four hundred thirty-four million, one hundred thirty-two thousand".