34131430401 has 16 divisors (see below), whose sum is σ = 46256548800. Its totient is φ = 22383304128.

The previous prime is 34131430381. The next prime is 34131430427. The reversal of 34131430401 is 10403413143.

It is not a de Polignac number, because 34131430401 - 2⁵ = 34131430369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34131440401) 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, 330006 + ... + 420911.

It is an arithmetic number, because the mean of its divisors is an integer number (2891034300).

Almost surely, 2^34131430401 is an apocalyptic number.

It is an amenable number.

34131430401 is a deficient number, since it is larger than the sum of its proper divisors (12125118399).

34131430401 is a wasteful number, since it uses less digits than its factorization.

34131430401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751168.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34131430401 its reverse (10403413143), we get a palindrome (44534843544).

The spelling of 34131430401 in words is "thirty-four billion, one hundred thirty-one million, four hundred thirty thousand, four hundred one".