434205305120100 has 72 divisors (see below), whose sum is σ = 1258880356097728. Its totient is φ = 115550323459200.

The previous prime is 434205305120089. The next prime is 434205305120117. The reversal of 434205305120100 is 1021503502434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1485840571 + ... + 1486132770.

Almost surely, 2^{434205305120100} is an apocalyptic number.

It is an amenable number.

434205305120100 is an abundant number, since it is smaller than the sum of its proper divisors (824675050977628).

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

434205305120100 is a wasteful number, since it uses less digits than its factorization.

434205305120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971973845 (or 2971973838 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 434205305120100 its reverse (1021503502434), we get a palindrome (435226808622534).

The spelling of 434205305120100 in words is "four hundred thirty-four trillion, two hundred five billion, three hundred five million, one hundred twenty thousand, one hundred".