42113766350928 has 160 divisors (see below), whose sum is σ = 115388758396800. Its totient is φ = 13189780307968.

The previous prime is 42113766350879. The next prime is 42113766351011. The reversal of 42113766350928 is 82905366731124.

It is a super-2 number, since 2×42113766350928² (a number of 28 digits) contains 22 as substring.

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, 4664273518 + ... + 4664282546.

It is an arithmetic number, because the mean of its divisors is an integer number (721179739980).

It is a 1-persistent number, because it is pandigital, but 2⋅42113766350928 = 84227532701856 is not.

Almost surely, 2^{42113766350928} is an apocalyptic number.

42113766350928 is a gapful number since it is divisible by the number (48) 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 42113766350928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57694379198400).

42113766350928 is an abundant number, since it is smaller than the sum of its proper divisors (73274992045872).

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

42113766350928 is a wasteful number, since it uses less digits than its factorization.

42113766350928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18109 (or 18103 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 42113766350928 in words is "forty-two trillion, one hundred thirteen billion, seven hundred sixty-six million, three hundred fifty thousand, nine hundred twenty-eight".