42555346512 has 160 divisors (see below), whose sum is σ = 127193763840. Its totient is φ = 12008908800.

The previous prime is 42555346499. The next prime is 42555346517. The reversal of 42555346512 is 21564355524.

42555346512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42555346512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42555346517) 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, 15191512 + ... + 15194312.

It is an arithmetic number, because the mean of its divisors is an integer number (794961024).

Almost surely, 2^42555346512 is an apocalyptic number.

42555346512 is a gapful number since it is divisible by the number (42) 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 42555346512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63596881920).

42555346512 is an abundant number, since it is smaller than the sum of its proper divisors (84638417328).

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

42555346512 is a wasteful number, since it uses less digits than its factorization.

42555346512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3355 counting only the distinct ones).

The product of its digits is 720000, while the sum is 42.

The spelling of 42555346512 in words is "forty-two billion, five hundred fifty-five million, three hundred forty-six thousand, five hundred twelve".