34441004400242 has 144 divisors (see below), whose sum is σ = 60286474003392. Its totient is φ = 14743353240000.

The previous prime is 34441004400241. The next prime is 34441004400263. The reversal of 34441004400242 is 24200440014443.

It is a super-2 number, since 2×34441004400242² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34441004400199 and 34441004400208.

It is not an unprimeable number, because it can be changed into a prime (34441004400241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11438392517 + ... + 11438395527.

It is an arithmetic number, because the mean of its divisors is an integer number (418656069468).

Almost surely, 2^{34441004400242} is an apocalyptic number.

34441004400242 is a deficient number, since it is larger than the sum of its proper divisors (25845469603150).

34441004400242 is a wasteful number, since it uses less digits than its factorization.

34441004400242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 34441004400242 its reverse (24200440014443), we get a palindrome (58641444414685).

The spelling of 34441004400242 in words is "thirty-four trillion, four hundred forty-one billion, four million, four hundred thousand, two hundred forty-two".