34400111401 has 8 divisors (see below), whose sum is σ = 36283220000. Its totient is φ = 32524260480.

The previous prime is 34400111351. The next prime is 34400111411. The reversal of 34400111401 is 10411100443.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34400111401 - 2⁹ = 34400110889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34400111411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1804680 + ... + 1823641.

It is an arithmetic number, because the mean of its divisors is an integer number (4535402500).

Almost surely, 2^34400111401 is an apocalyptic number.

It is an amenable number.

34400111401 is a deficient number, since it is larger than the sum of its proper divisors (1883108599).

34400111401 is a wasteful number, since it uses less digits than its factorization.

34400111401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628839.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 34400111401 its reverse (10411100443), we get a palindrome (44811211844).

The spelling of 34400111401 in words is "thirty-four billion, four hundred million, one hundred eleven thousand, four hundred one".