33141005242000 has 80 divisors (see below), whose sum is σ = 80478878633712. Its totient is φ = 13199507481600.

The previous prime is 33141005241847. The next prime is 33141005242027. The reversal of 33141005242000 is 24250014133.

It can be written as a sum of positive squares in 8 ways, for example, as 21239857603584 + 11901147638416 = 4608672^2 + 3449804^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 35093019 + ... + 36025018.

Almost surely, 2^{33141005242000} is an apocalyptic number.

It is an amenable number.

33141005242000 is an abundant number, since it is smaller than the sum of its proper divisors (47337873391712).

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

33141005242000 is a wasteful number, since it uses less digits than its factorization.

33141005242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71118293 (or 71118277 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 33141005242000 its reverse (24250014133), we get a palindrome (33165255256133).

The spelling of 33141005242000 in words is "thirty-three trillion, one hundred forty-one billion, five million, two hundred forty-two thousand".