42601776 has 120 divisors (see below), whose sum is σ = 130616640. Its totient is φ = 11926656.

The previous prime is 42601759. The next prime is 42601817. The reversal of 42601776 is 67710624.

It is a super-3 number, since 3×42601776³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138615 + ... + 138921.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 2^42601776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42601776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

42601776 is an abundant number, since it is smaller than the sum of its proper divisors (88014864).

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

42601776 is a wasteful number, since it uses less digits than its factorization.

42601776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 42601776 is about 6527.0036004280. The cubic root of 42601776 is about 349.2549484536.

The spelling of 42601776 in words is "forty-two million, six hundred one thousand, seven hundred seventy-six".