34201401331441 has 8 divisors (see below), whose sum is σ = 34454744743680. Its totient is φ = 33948111515808.

The previous prime is 34201401331417. The next prime is 34201401331507. The reversal of 34201401331441 is 14413310410243.

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 34201401331441 - 2¹³ = 34201401323249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34201401338441) 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, 12117721 + ... + 14671126.

It is an arithmetic number, because the mean of its divisors is an integer number (4306843092960).

Almost surely, 2^{34201401331441} is an apocalyptic number.

It is an amenable number.

34201401331441 is a deficient number, since it is larger than the sum of its proper divisors (253343412239).

34201401331441 is a wasteful number, since it uses less digits than its factorization.

34201401331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26798303.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 34201401331441 its reverse (14413310410243), we get a palindrome (48614711741684).

The spelling of 34201401331441 in words is "thirty-four trillion, two hundred one billion, four hundred one million, three hundred thirty-one thousand, four hundred forty-one".