42700408128 has 168 divisors, whose sum is σ = 140169107520. Its totient is φ = 12174704640.

The previous prime is 42700408123. The next prime is 42700408141. The reversal of 42700408128 is 82180400724.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42700408092 and 42700408101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42700408123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968928 + ... + 1990496.

Almost surely, 2^42700408128 is an apocalyptic number.

42700408128 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 42700408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70084553760).

42700408128 is an abundant number, since it is smaller than the sum of its proper divisors (97468699392).

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

42700408128 is a wasteful number, since it uses less digits than its factorization.

42700408128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22085 (or 22072 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 42700408128 in words is "forty-two billion, seven hundred million, four hundred eight thousand, one hundred twenty-eight".