434057534000 has 40 divisors (see below), whose sum is σ = 1049551122048. Its totient is φ = 173623012800.

The previous prime is 434057533963. The next prime is 434057534003. The reversal of 434057534000 is 435750434.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×434057534000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434057534003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108512384 + ... + 108516383.

Almost surely, 2^434057534000 is an apocalyptic number.

434057534000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434057534000 is an abundant number, since it is smaller than the sum of its proper divisors (615493588048).

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

434057534000 is a wasteful number, since it uses less digits than its factorization.

434057534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217028790 (or 217028774 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 35.

The spelling of 434057534000 in words is "four hundred thirty-four billion, fifty-seven million, five hundred thirty-four thousand".