42514560 has 288 divisors, whose sum is σ = 164012940. Its totient is φ = 10137600.

The previous prime is 42514553. The next prime is 42514567. The reversal of 42514560 is 6541524.

It is an interprime number because it is at equal distance from previous prime (42514553) and next prime (42514567).

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 5645376 = 6072^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (42514567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696930 + ... + 696990.

Almost surely, 2^42514560 is an apocalyptic number.

42514560 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 42514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82006470).

42514560 is an abundant number, since it is smaller than the sum of its proper divisors (121498380).

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

42514560 is a wasteful number, since it uses less digits than its factorization.

42514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42514560 is about 6520.3190106006. The cubic root of 42514560 is about 349.0164495548.

The spelling of 42514560 in words is "forty-two million, five hundred fourteen thousand, five hundred sixty".