34051214401 has 16 divisors (see below), whose sum is σ = 37860106240. Its totient is φ = 30492398160.

The previous prime is 34051214377. The next prime is 34051214413. The reversal of 34051214401 is 10441215043.

It is a cyclic number.

It is not a de Polignac number, because 34051214401 - 2¹¹ = 34051212353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34051214471) 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, 646905 + ... + 697558.

It is an arithmetic number, because the mean of its divisors is an integer number (2366256640).

Almost surely, 2^34051214401 is an apocalyptic number.

34051214401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34051214401 is a deficient number, since it is larger than the sum of its proper divisors (3808891839).

34051214401 is a wasteful number, since it uses less digits than its factorization.

34051214401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344556.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 34051214401 its reverse (10441215043), we get a palindrome (44492429444).

The spelling of 34051214401 in words is "thirty-four billion, fifty-one million, two hundred fourteen thousand, four hundred one".