33014213141140 has 144 divisors (see below), whose sum is σ = 88003869617664. Its totient is φ = 10287438470400.

The previous prime is 33014213141093. The next prime is 33014213141149. The reversal of 33014213141140 is 4114131241033.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 33014213141099 and 33014213141108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33014213141149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40789629 + ... + 41591131.

It is an arithmetic number, because the mean of its divisors is an integer number (611137983456).

Almost surely, 2^{33014213141140} 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 33014213141140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44001934808832).

33014213141140 is an abundant number, since it is smaller than the sum of its proper divisors (54989656476524).

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

33014213141140 is a wasteful number, since it uses less digits than its factorization.

33014213141140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805358 (or 805349 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 33014213141140 its reverse (4114131241033), we get a palindrome (37128344382173).

The spelling of 33014213141140 in words is "thirty-three trillion, fourteen billion, two hundred thirteen million, one hundred forty-one thousand, one hundred forty".