42120335080800 has 720 divisors, whose sum is σ = 154665535147200. Its totient is φ = 11154786877440.

The previous prime is 42120335080781. The next prime is 42120335080807. The reversal of 42120335080800 is 808053302124.

42120335080800 is a `hidden beast` number, since 4 + 21 + 20 + 33 + 508 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×42120335080800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120335080807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5812102777 + ... + 5812110023.

It is an arithmetic number, because the mean of its divisors is an integer number (214813243260).

Almost surely, 2^{42120335080800} is an apocalyptic number.

42120335080800 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 42120335080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77332767573600).

42120335080800 is an abundant number, since it is smaller than the sum of its proper divisors (112545200066400).

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

42120335080800 is a wasteful number, since it uses less digits than its factorization.

42120335080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 42120335080800 its reverse (808053302124), we get a palindrome (42928388382924).

The spelling of 42120335080800 in words is "forty-two trillion, one hundred twenty billion, three hundred thirty-five million, eighty thousand, eight hundred".