4133440510336 has 128 divisors (see below), whose sum is σ = 8955751449600. Its totient is φ = 1893059942400.

The previous prime is 4133440510313. The next prime is 4133440510351. The reversal of 4133440510336 is 6330150443314.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4133440510295 and 4133440510304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84640806 + ... + 84689626.

It is an arithmetic number, because the mean of its divisors is an integer number (69966808200).

Almost surely, 2^{4133440510336} 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 4133440510336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477875724800).

4133440510336 is an abundant number, since it is smaller than the sum of its proper divisors (4822310939264).

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

4133440510336 is a wasteful number, since it uses less digits than its factorization.

4133440510336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50008 (or 49996 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The spelling of 4133440510336 in words is "four trillion, one hundred thirty-three billion, four hundred forty million, five hundred ten thousand, three hundred thirty-six".