34003041042042 has 128 divisors (see below), whose sum is σ = 82158603264000. Its totient is φ = 10383930805248.

The previous prime is 34003041042031. The next prime is 34003041042071. The reversal of 34003041042042 is 24024014030043.

It is a happy number.

34003041042042 is a `hidden beast` number, since 3 + 40 + 0 + 3 + 0 + 410 + 4 + 204 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34003041041997 and 34003041042015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3427584 + ... + 8930532.

It is an arithmetic number, because the mean of its divisors is an integer number (641864088000).

Almost surely, 2^{34003041042042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34003041042042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41079301632000).

34003041042042 is an abundant number, since it is smaller than the sum of its proper divisors (48155562221958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34003041042042 is a wasteful number, since it uses less digits than its factorization.

34003041042042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503157 (or 5503151 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34003041042042 its reverse (24024014030043), we get a palindrome (58027055072085).

The spelling of 34003041042042 in words is "thirty-four trillion, three billion, forty-one million, forty-two thousand, forty-two".