42125928768 has 672 divisors, whose sum is σ = 162338918400. Its totient is φ = 10581580800.

The previous prime is 42125928743. The next prime is 42125928769. The reversal of 42125928768 is 86782952124.

42125928768 is a `hidden beast` number, since 42 + 1 + 2 + 592 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3870720) is a multiple of the sum of its prime factors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42125928769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28872423 + ... + 28873881.

Almost surely, 2^42125928768 is an apocalyptic number.

42125928768 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 42125928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81169459200).

42125928768 is an abundant number, since it is smaller than the sum of its proper divisors (120212989632).

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

42125928768 is a wasteful number, since it uses less digits than its factorization.

42125928768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1513 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 42125928768 in words is "forty-two billion, one hundred twenty-five million, nine hundred twenty-eight thousand, seven hundred sixty-eight".