34123401040 has 40 divisors (see below), whose sum is σ = 79916034600. Its totient is φ = 13549725696.

The previous prime is 34123401017. The next prime is 34123401047. The reversal of 34123401040 is 4010432143.

It can be written as a sum of positive squares in 4 ways, for example, as 10611472144 + 23511928896 = 103012^2 + 153336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34123401047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1545765 + ... + 1567684.

It is an arithmetic number, because the mean of its divisors is an integer number (1997900865).

Almost surely, 2^34123401040 is an apocalyptic number.

It is an amenable number.

34123401040 is an abundant number, since it is smaller than the sum of its proper divisors (45792633560).

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

34123401040 is a wasteful number, since it uses less digits than its factorization.

34123401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113599 (or 3113593 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34123401040 its reverse (4010432143), we get a palindrome (38133833183).

The spelling of 34123401040 in words is "thirty-four billion, one hundred twenty-three million, four hundred one thousand, forty".