42104032140000 has 240 divisors, whose sum is σ = 138553790094720. Its totient is φ = 11191634880000.

The previous prime is 42104032139959. The next prime is 42104032140019. The reversal of 42104032140000 is 4123040124.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17531811 + ... + 19788189.

It is an arithmetic number, because the mean of its divisors is an integer number (577307458728).

Almost surely, 2^{42104032140000} is an apocalyptic number.

42104032140000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42104032140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69276895047360).

42104032140000 is an abundant number, since it is smaller than the sum of its proper divisors (96449757954720).

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

42104032140000 is a wasteful number, since it uses less digits than its factorization.

42104032140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256723 (or 2256700 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 42104032140000 its reverse (4123040124), we get a palindrome (42108155180124).

The spelling of 42104032140000 in words is "forty-two trillion, one hundred four billion, thirty-two million, one hundred forty thousand".