42711360 has 56 divisors (see below), whose sum is σ = 135611616. Its totient is φ = 11389440.

The previous prime is 42711349. The next prime is 42711421. The reversal of 42711360 is 6311724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42711360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21286 + ... + 23205.

It is an arithmetic number, because the mean of its divisors is an integer number (2421636).

Almost surely, 2^42711360 is an apocalyptic number.

42711360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42711360 is an abundant number, since it is smaller than the sum of its proper divisors (92900256).

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

42711360 is a wasteful number, since it uses less digits than its factorization.

42711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44511 (or 44501 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 42711360 is about 6535.3928726588. The cubic root of 42711360 is about 349.5541533890.

It can be divided in two parts, 42711 and 360, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 42711360 in words is "forty-two million, seven hundred eleven thousand, three hundred sixty".