42121201304 has 128 divisors (see below), whose sum is σ = 98122752000. Its totient is φ = 16506491904.

The previous prime is 42121201259. The next prime is 42121201307. The reversal of 42121201304 is 40310212124.

42121201304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121201307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40539617 + ... + 40540655.

It is an arithmetic number, because the mean of its divisors is an integer number (766584000).

Almost surely, 2^42121201304 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 42121201304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49061376000).

42121201304 is an abundant number, since it is smaller than the sum of its proper divisors (56001550696).

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

42121201304 is a wasteful number, since it uses less digits than its factorization.

42121201304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42121201304 its reverse (40310212124), we get a palindrome (82431413428).

The spelling of 42121201304 in words is "forty-two billion, one hundred twenty-one million, two hundred one thousand, three hundred four".