42176640 has 128 divisors (see below), whose sum is σ = 146733120. Its totient is φ = 10219520.

The previous prime is 42176639. The next prime is 42176653. The reversal of 42176640 is 4667124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42176598 and 42176607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20122 + ... + 22118.

Almost surely, 2^42176640 is an apocalyptic number.

42176640 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 42176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73366560).

42176640 is an abundant number, since it is smaller than the sum of its proper divisors (104556480).

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

42176640 is a wasteful number, since it uses less digits than its factorization.

42176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42176640 is about 6494.3544713851. The cubic root of 42176640 is about 348.0892887546.

The spelling of 42176640 in words is "forty-two million, one hundred seventy-six thousand, six hundred forty".