34440101412224 has 32 divisors (see below), whose sum is σ = 68611560222240. Its totient is φ = 17219945121280.

The previous prime is 34440101412193. The next prime is 34440101412247. The reversal of 34440101412224 is 42221410104443.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×34440101412224² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22755254 + ... + 24221514.

It is an arithmetic number, because the mean of its divisors is an integer number (2144111256945).

Almost surely, 2^{34440101412224} is an apocalyptic number.

It is an amenable number.

34440101412224 is a deficient number, since it is larger than the sum of its proper divisors (34171458810016).

34440101412224 is a wasteful number, since it uses less digits than its factorization.

34440101412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649778 (or 1649766 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 34440101412224 its reverse (42221410104443), we get a palindrome (76661511516667).

The spelling of 34440101412224 in words is "thirty-four trillion, four hundred forty billion, one hundred one million, four hundred twelve thousand, two hundred twenty-four".