434034233141000 has 64 divisors (see below), whose sum is σ = 1020902489970480. Its totient is φ = 172714140364800.

The previous prime is 434034233140927. The next prime is 434034233141017. The reversal of 434034233141000 is 141332430434.

It can be written as a sum of positive squares in 8 ways, for example, as 47533495958116 + 386500737182884 = 6894454^2 + 19659622^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124248019 + ... + 1124634018.

Almost surely, 2^{434034233141000} is an apocalyptic number.

434034233141000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434034233141000 is an abundant number, since it is smaller than the sum of its proper divisors (586868256829480).

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

434034233141000 is a wasteful number, since it uses less digits than its factorization.

434034233141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248882251 (or 2248882237 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 434034233141000 its reverse (141332430434), we get a palindrome (434175565571434).

The spelling of 434034233141000 in words is "four hundred thirty-four trillion, thirty-four billion, two hundred thirty-three million, one hundred forty-one thousand".