42359872128 has 384 divisors, whose sum is σ = 141088358400. Its totient is φ = 11017175040.

The previous prime is 42359872103. The next prime is 42359872153. The reversal of 42359872128 is 82127895324.

It is an interprime number because it is at equal distance from previous prime (42359872103) and next prime (42359872153).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×42359872128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24080913 + ... + 24082671.

It is an arithmetic number, because the mean of its divisors is an integer number (367417600).

Almost surely, 2^42359872128 is an apocalyptic number.

42359872128 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 42359872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70544179200).

42359872128 is an abundant number, since it is smaller than the sum of its proper divisors (98728486272).

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

42359872128 is a wasteful number, since it uses less digits than its factorization.

42359872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1819 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The spelling of 42359872128 in words is "forty-two billion, three hundred fifty-nine million, eight hundred seventy-two thousand, one hundred twenty-eight".