33014040311142 has 224 divisors, whose sum is σ = 81314599956480. Its totient is φ = 9965158306560.

The previous prime is 33014040311101. The next prime is 33014040311159. The reversal of 33014040311142 is 24111304041033.

33014040311142 is a `hidden beast` number, since 3 + 3 + 0 + 140 + 403 + 1 + 114 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4555542163 + ... + 4555549409.

Almost surely, 2^{33014040311142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33014040311142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40657299978240).

33014040311142 is an abundant number, since it is smaller than the sum of its proper divisors (48300559645338).

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

33014040311142 is a wasteful number, since it uses less digits than its factorization.

33014040311142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8350 (or 8335 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 33014040311142 its reverse (24111304041033), we get a palindrome (57125344352175).

The spelling of 33014040311142 in words is "thirty-three trillion, fourteen billion, forty million, three hundred eleven thousand, one hundred forty-two".