42003125151104 has 256 divisors, whose sum is σ = 95753338652160. Its totient is φ = 18181263360000.

The previous prime is 42003125151067. The next prime is 42003125151259. The reversal of 42003125151104 is 40115152130024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12920061479 + ... + 12920064729.

It is an arithmetic number, because the mean of its divisors is an integer number (374036479110).

Almost surely, 2^{42003125151104} 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 42003125151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47876669326080).

42003125151104 is an abundant number, since it is smaller than the sum of its proper divisors (53750213501056).

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

42003125151104 is a wasteful number, since it uses less digits than its factorization.

42003125151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 42003125151104 its reverse (40115152130024), we get a palindrome (82118277281128).

The spelling of 42003125151104 in words is "forty-two trillion, three billion, one hundred twenty-five million, one hundred fifty-one thousand, one hundred four".