42128167989600 has 2592 divisors, whose sum is σ = 201647928081600. Its totient is φ = 8237975961600.

The previous prime is 42128167989599. The next prime is 42128167989619. The reversal of 42128167989600 is 698976182124.

42128167989600 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 8 + 16 + 7 + 9 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5079963054 + ... + 5079971346.

It is an arithmetic number, because the mean of its divisors is an integer number (77796268550).

Almost surely, 2^{42128167989600} is an apocalyptic number.

42128167989600 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 42128167989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100823964040800).

42128167989600 is an abundant number, since it is smaller than the sum of its proper divisors (159519760092000).

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

42128167989600 is a wasteful number, since it uses less digits than its factorization.

42128167989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 42128167989600 in words is "forty-two trillion, one hundred twenty-eight billion, one hundred sixty-seven million, nine hundred eighty-nine thousand, six hundred".