42352128000 has 1248 divisors, whose sum is σ = 189768039552. Its totient is φ = 8847360000.

The previous prime is 42352127947. The next prime is 42352128043. The reversal of 42352128000 is 82125324.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×42352128000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419327950 + ... + 419328050.

It is an arithmetic number, because the mean of its divisors is an integer number (152057724).

Almost surely, 2^42352128000 is an apocalyptic number.

42352128000 is a gapful number since it is divisible by the number (40) 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 42352128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94884019776).

42352128000 is an abundant number, since it is smaller than the sum of its proper divisors (147415911552).

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

42352128000 is a wasteful number, since it uses less digits than its factorization.

42352128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 42352128000 in words is "forty-two billion, three hundred fifty-two million, one hundred twenty-eight thousand".