33140411142000 has 160 divisors (see below), whose sum is σ = 110528985602880. Its totient is φ = 8532703513600.

The previous prime is 33140411141963. The next prime is 33140411142001. The reversal of 33140411142000 is 24111404133.

It is a super-3 number, since 3×33140411142000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33140411142001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95057067 + ... + 95405066.

It is an arithmetic number, because the mean of its divisors is an integer number (690806160018).

Almost surely, 2^{33140411142000} is an apocalyptic number.

33140411142000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33140411142000 is an abundant number, since it is smaller than the sum of its proper divisors (77388574460880).

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

33140411142000 is a wasteful number, since it uses less digits than its factorization.

33140411142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190462188 (or 190462172 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 33140411142000 its reverse (24111404133), we get a palindrome (33164522546133).

The spelling of 33140411142000 in words is "thirty-three trillion, one hundred forty billion, four hundred eleven million, one hundred forty-two thousand".