4000340000735 has 32 divisors (see below), whose sum is σ = 5442386664960. Its totient is φ = 2798295147648.

The previous prime is 4000340000693. The next prime is 4000340000743. The reversal of 4000340000735 is 5370000430004.

It is not a de Polignac number, because 4000340000735 - 2⁸ = 4000340000479 is a prime.

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, 10768094 + ... + 11133396.

It is an arithmetic number, because the mean of its divisors is an integer number (170074583280).

Almost surely, 2^{4000340000735} is an apocalyptic number.

4000340000735 is a deficient number, since it is larger than the sum of its proper divisors (1442046664225).

4000340000735 is a wasteful number, since it uses less digits than its factorization.

4000340000735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374207.

The product of its (nonzero) digits is 5040, while the sum is 26.

Adding to 4000340000735 its reverse (5370000430004), we get a palindrome (9370340430739).

The spelling of 4000340000735 in words is "four trillion, three hundred forty million, seven hundred thirty-five", and thus it is an aban number.