42711662224 has 225 divisors, whose sum is σ = 107654854905. Its totient is φ = 16368105600.

The previous prime is 42711662153. The next prime is 42711662249. The reversal of 42711662224 is 42226611724.

The square root of 42711662224 is 206668.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1388903824 + 41322758400 = 37268^2 + 203280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 700191154 + ... + 700191214.

Almost surely, 2^42711662224 is an apocalyptic number.

42711662224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42711662224 is the 206668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42711662224

42711662224 is an abundant number, since it is smaller than the sum of its proper divisors (64943192681).

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

42711662224 is an frugal number, since it uses more digits than its factorization.

42711662224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 81 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The spelling of 42711662224 in words is "forty-two billion, seven hundred eleven million, six hundred sixty-two thousand, two hundred twenty-four".