40034104001 has 16 divisors (see below), whose sum is σ = 41420505168. Its totient is φ = 38669030400.

The previous prime is 40034103997. The next prime is 40034104021. The reversal of 40034104001 is 10040143004.

40034104001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3648160000 + 36385944001 = 60400^2 + 190751^2 .

It is a cyclic number.

It is not a de Polignac number, because 40034104001 - 2² = 40034103997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40034104021) 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, 1797731 + ... + 1819863.

It is an arithmetic number, because the mean of its divisors is an integer number (2588781573).

Almost surely, 2^40034104001 is an apocalyptic number.

40034104001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40034104001 is a deficient number, since it is larger than the sum of its proper divisors (1386401167).

40034104001 is a wasteful number, since it uses less digits than its factorization.

40034104001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22612.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 40034104001 its reverse (10040143004), we get a palindrome (50074247005).

The spelling of 40034104001 in words is "forty billion, thirty-four million, one hundred four thousand, one".