34400001441 has 16 divisors (see below), whose sum is σ = 49670832960. Its totient is φ = 21050963520.

The previous prime is 34400001439. The next prime is 34400001469. The reversal of 34400001441 is 14410000443.

It is not a de Polignac number, because 34400001441 - 2¹ = 34400001439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34400001401) 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, 2456850 + ... + 2470811.

It is an arithmetic number, because the mean of its divisors is an integer number (3104427060).

Almost surely, 2^34400001441 is an apocalyptic number.

It is an amenable number.

34400001441 is a deficient number, since it is larger than the sum of its proper divisors (15270831519).

34400001441 is a wasteful number, since it uses less digits than its factorization.

34400001441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927856.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34400001441 its reverse (14410000443), we get a palindrome (48810001884).

The spelling of 34400001441 in words is "thirty-four billion, four hundred million, one thousand, four hundred forty-one".