434314100041004 has 48 divisors (see below), whose sum is σ = 798108948614880. Its totient is φ = 206509604421120.

The previous prime is 434314100040973. The next prime is 434314100041009. The reversal of 434314100041004 is 400140001413434.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (434314100041009) 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, 49719464 + ... + 57798384.

It is an arithmetic number, because the mean of its divisors is an integer number (16627269762810).

Almost surely, 2^{434314100041004} is an apocalyptic number.

It is an amenable number.

434314100041004 is a deficient number, since it is larger than the sum of its proper divisors (363794848573876).

434314100041004 is a wasteful number, since it uses less digits than its factorization.

434314100041004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085938 (or 8085936 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 434314100041004 its reverse (400140001413434), we get a palindrome (834454101454438).

The spelling of 434314100041004 in words is "four hundred thirty-four trillion, three hundred fourteen billion, one hundred million, forty-one thousand, four".