434086497104 has 80 divisors (see below), whose sum is σ = 921953491200. Its totient is φ = 196767195648.

The previous prime is 434086497101. The next prime is 434086497107. The reversal of 434086497104 is 401794680434.

It is an interprime number because it is at equal distance from previous prime (434086497101) and next prime (434086497107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434086497101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13519982 + ... + 13552050.

It is an arithmetic number, because the mean of its divisors is an integer number (11524418640).

Almost surely, 2^434086497104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434086497104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460976745600).

434086497104 is an abundant number, since it is smaller than the sum of its proper divisors (487866994096).

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

434086497104 is a wasteful number, since it uses less digits than its factorization.

434086497104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33252 (or 33246 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 434086497104 in words is "four hundred thirty-four billion, eighty-six million, four hundred ninety-seven thousand, one hundred four".