42416640 has 240 divisors, whose sum is σ = 168524928. Its totient is φ = 9658368.

The previous prime is 42416639. The next prime is 42416641. The reversal of 42416640 is 4661424.

42416640 is a `hidden beast` number, since 4 + 2 + 4 + 16 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (42416639) and next prime (42416641).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42416641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161149 + ... + 161411.

Almost surely, 2^42416640 is an apocalyptic number.

42416640 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 42416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84262464).

42416640 is an abundant number, since it is smaller than the sum of its proper divisors (126108288).

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

42416640 is a wasteful number, since it uses less digits than its factorization.

42416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42416640 is about 6512.8058469449. The cubic root of 42416640 is about 348.7482907381.

The spelling of 42416640 in words is "forty-two million, four hundred sixteen thousand, six hundred forty".