434413000440040 has 32 divisors (see below), whose sum is σ = 1008959226831360. Its totient is φ = 168159871137600.

The previous prime is 434413000440017. The next prime is 434413000440053. The reversal of 434413000440040 is 40044000314434.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 434413000439984 and 434413000440011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175166531196 + ... + 175166533675.

It is an arithmetic number, because the mean of its divisors is an integer number (31529975838480).

Almost surely, 2^{434413000440040} is an apocalyptic number.

434413000440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434413000440040 is an abundant number, since it is smaller than the sum of its proper divisors (574546226391320).

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

434413000440040 is a wasteful number, since it uses less digits than its factorization.

434413000440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350333064913 (or 350333064909 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 434413000440040 its reverse (40044000314434), we get a palindrome (474457000754474).

The spelling of 434413000440040 in words is "four hundred thirty-four trillion, four hundred thirteen billion, four hundred forty thousand, forty".