2041434034332 has 192 divisors, whose sum is σ = 6062611968000. Its totient is φ = 530006688960.

The previous prime is 2041434034319. The next prime is 2041434034399. The reversal of 2041434034332 is 2334304341402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2041434034293 and 2041434034302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116758063 + ... + 116775545.

It is an arithmetic number, because the mean of its divisors is an integer number (31576104000).

Almost surely, 2^{2041434034332} is an apocalyptic number.

2041434034332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041434034332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031305984000).

2041434034332 is an abundant number, since it is smaller than the sum of its proper divisors (4021177933668).

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

2041434034332 is a wasteful number, since it uses less digits than its factorization.

2041434034332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20101 (or 20085 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 2041434034332 its reverse (2334304341402), we get a palindrome (4375738375734).

The spelling of 2041434034332 in words is "two trillion, forty-one billion, four hundred thirty-four million, thirty-four thousand, three hundred thirty-two".