34021355312043 has 48 divisors (see below), whose sum is σ = 54511255199232. Its totient is φ = 20272424472000.

The previous prime is 34021355312041. The next prime is 34021355312071.

34021355312043 is a `hidden beast` number, since 3 + 40 + 2 + 1 + 3 + 553 + 1 + 20 + 43 = 666.

34021355312043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34021355312043 - 2¹ = 34021355312041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34021355311989 and 34021355312007.

It is not an unprimeable number, because it can be changed into a prime (34021355312041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13130446 + ... + 15506492.

It is an arithmetic number, because the mean of its divisors is an integer number (1135651149984).

Almost surely, 2^{34021355312043} is an apocalyptic number.

34021355312043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34021355312043 is a deficient number, since it is larger than the sum of its proper divisors (20489899887189).

34021355312043 is a wasteful number, since it uses less digits than its factorization.

34021355312043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378496 (or 2378493 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 3402135 and 5312043, that added together give a palindrome (8714178).

The spelling of 34021355312043 in words is "thirty-four trillion, twenty-one billion, three hundred fifty-five million, three hundred twelve thousand, forty-three".