434040102375 has 128 divisors (see below), whose sum is σ = 815185133568. Its totient is φ = 203187600000.

The previous prime is 434040102373. The next prime is 434040102413. The reversal of 434040102375 is 573201040434.

It is not a de Polignac number, because 434040102375 - 2¹ = 434040102373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434040102373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59202460 + ... + 59209790.

It is an arithmetic number, because the mean of its divisors is an integer number (6368633856).

Almost surely, 2^434040102375 is an apocalyptic number.

434040102375 is a deficient number, since it is larger than the sum of its proper divisors (381145031193).

434040102375 is a wasteful number, since it uses less digits than its factorization.

434040102375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 434040102375 in words is "four hundred thirty-four billion, forty million, one hundred two thousand, three hundred seventy-five".