434110040 has 128 divisors (see below), whose sum is σ = 1209600000. Its totient is φ = 136539648.

The previous prime is 434110037. The next prime is 434110057. The reversal of 434110040 is 40011434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869711 + ... + 870209.

It is an arithmetic number, because the mean of its divisors is an integer number (9450000).

Almost surely, 2^434110040 is an apocalyptic number.

434110040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800000).

434110040 is an abundant number, since it is smaller than the sum of its proper divisors (775489960).

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

434110040 is a wasteful number, since it uses less digits than its factorization.

434110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 434110040 is about 20835.3075331275. The cubic root of 434110040 is about 757.1814110460.

Adding to 434110040 its reverse (40011434), we get a palindrome (474121474).

The spelling of 434110040 in words is "four hundred thirty-four million, one hundred ten thousand, forty".