34441242440253 has 8 divisors (see below), whose sum is σ = 50096352640416. Its totient is φ = 20873480266800.

The previous prime is 34441242440251. The next prime is 34441242440257. The reversal of 34441242440253 is 35204424214443.

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

It is not a de Polignac number, because 34441242440253 - 2¹ = 34441242440251 is a prime.

It is a super-3 number, since 3×34441242440253³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441242440251) 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, 521837006638 + ... + 521837006703.

It is an arithmetic number, because the mean of its divisors is an integer number (6262044080052).

Almost surely, 2^{34441242440253} is an apocalyptic number.

34441242440253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34441242440253 is a deficient number, since it is larger than the sum of its proper divisors (15655110200163).

34441242440253 is a wasteful number, since it uses less digits than its factorization.

34441242440253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043674013355.

The product of its (nonzero) digits is 1474560, while the sum is 42.

Adding to 34441242440253 its reverse (35204424214443), we get a palindrome (69645666654696).

The spelling of 34441242440253 in words is "thirty-four trillion, four hundred forty-one billion, two hundred forty-two million, four hundred forty thousand, two hundred fifty-three".