42121311024 has 160 divisors (see below), whose sum is σ = 118226808000. Its totient is φ = 12845629440.

The previous prime is 42121311019. The next prime is 42121311049. The reversal of 42121311024 is 42011312124.

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, 40153252 + ... + 40154300.

It is an arithmetic number, because the mean of its divisors is an integer number (738917550).

Almost surely, 2^42121311024 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 42121311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59113404000).

42121311024 is an abundant number, since it is smaller than the sum of its proper divisors (76105496976).

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

42121311024 is a wasteful number, since it uses less digits than its factorization.

42121311024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 42121311024 its reverse (42011312124), we get a palindrome (84132623148).

The spelling of 42121311024 in words is "forty-two billion, one hundred twenty-one million, three hundred eleven thousand, twenty-four".