434117081318100 has 72 divisors (see below), whose sum is σ = 1256145603931680. Its totient is φ = 115755321655680.

The previous prime is 434117081318087. The next prime is 434117081318113. The reversal of 434117081318100 is 1813180711434.

It is an interprime number because it is at equal distance from previous prime (434117081318087) and next prime (434117081318113).

It is a super-2 number, since 2×434117081318100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53940547 + ... + 61463946.

Almost surely, 2^{434117081318100} is an apocalyptic number.

It is an amenable number.

434117081318100 is an abundant number, since it is smaller than the sum of its proper divisors (822028522613580).

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

434117081318100 is a wasteful number, since it uses less digits than its factorization.

434117081318100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115417049 (or 115417042 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 434117081318100 in words is "four hundred thirty-four trillion, one hundred seventeen billion, eighty-one million, three hundred eighteen thousand, one hundred".