434134243040 has 48 divisors (see below), whose sum is σ = 1053362221632. Its totient is φ = 168960351744.

The previous prime is 434134243009. The next prime is 434134243043. The reversal of 434134243040 is 40342431434.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 434134242988 and 434134243006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434134243043) 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, 36660824 + ... + 36672663.

It is an arithmetic number, because the mean of its divisors is an integer number (21945046284).

Almost surely, 2^434134243040 is an apocalyptic number.

434134243040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434134243040 is an abundant number, since it is smaller than the sum of its proper divisors (619227978592).

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

434134243040 is a wasteful number, since it uses less digits than its factorization.

434134243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73333539 (or 73333531 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 434134243040 its reverse (40342431434), we get a palindrome (474476674474).

The spelling of 434134243040 in words is "four hundred thirty-four billion, one hundred thirty-four million, two hundred forty-three thousand, forty".