434130409993 has 24 divisors (see below), whose sum is σ = 524253000768. Its totient is φ = 352111922208.

The previous prime is 434130409967. The next prime is 434130410009. The reversal of 434130409993 is 399904031434.

It is a happy number.

It is not a de Polignac number, because 434130409993 - 2¹³ = 434130401801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434130409913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2054830 + ... + 2256232.

It is an arithmetic number, because the mean of its divisors is an integer number (21843875032).

Almost surely, 2^434130409993 is an apocalyptic number.

It is an amenable number.

434130409993 is a deficient number, since it is larger than the sum of its proper divisors (90122590775).

434130409993 is a wasteful number, since it uses less digits than its factorization.

434130409993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202301 (or 202282 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 49.

The spelling of 434130409993 in words is "four hundred thirty-four billion, one hundred thirty million, four hundred nine thousand, nine hundred ninety-three".