33013441144040 has 192 divisors, whose sum is σ = 90238319187840. Its totient is φ = 10646078607360.

The previous prime is 33013441144037. The next prime is 33013441144063. The reversal of 33013441144040 is 4044114431033.

It is a super-3 number, since 3×33013441144040³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33013441143988 and 33013441144006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123755282 + ... + 124021758.

It is an arithmetic number, because the mean of its divisors is an integer number (469991245770).

Almost surely, 2^{33013441144040} 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 33013441144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45119159593920).

33013441144040 is an abundant number, since it is smaller than the sum of its proper divisors (57224878043800).

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

33013441144040 is a wasteful number, since it uses less digits than its factorization.

33013441144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268060 (or 268039 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 33013441144040 its reverse (4044114431033), we get a palindrome (37057555575073).

The spelling of 33013441144040 in words is "thirty-three trillion, thirteen billion, four hundred forty-one million, one hundred forty-four thousand, forty".