42201120331104 has 144 divisors (see below), whose sum is σ = 128877207556608. Its totient is φ = 12056239819008.

The previous prime is 42201120331093. The next prime is 42201120331121. The reversal of 42201120331104 is 40113302110224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46434717 + ... + 47334819.

It is an arithmetic number, because the mean of its divisors is an integer number (894980608032).

Almost surely, 2^{42201120331104} 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 42201120331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64438603778304).

42201120331104 is an abundant number, since it is smaller than the sum of its proper divisors (86676087225504).

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

42201120331104 is a wasteful number, since it uses less digits than its factorization.

42201120331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910097 (or 910082 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42201120331104 its reverse (40113302110224), we get a palindrome (82314422441328).

The spelling of 42201120331104 in words is "forty-two trillion, two hundred one billion, one hundred twenty million, three hundred thirty-one thousand, one hundred four".