4033141649344 has 112 divisors (see below), whose sum is σ = 8498429210880. Its totient is φ = 1892494540800.

The previous prime is 4033141649297. The next prime is 4033141649351. The reversal of 4033141649344 is 4439461413304.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4033141649294 and 4033141649303.

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 15 ways as a sum of consecutive naturals, for example, 938592604 + ... + 938596900.

It is an arithmetic number, because the mean of its divisors is an integer number (75878832240).

Almost surely, 2^{4033141649344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4033141649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249214605440).

4033141649344 is an abundant number, since it is smaller than the sum of its proper divisors (4465287561536).

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

4033141649344 is a wasteful number, since it uses less digits than its factorization.

4033141649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6596 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 4033141649344 in words is "four trillion, thirty-three billion, one hundred forty-one million, six hundred forty-nine thousand, three hundred forty-four".