42011211024 has 30 divisors (see below), whose sum is σ = 117573042366. Its totient is φ = 14003736960.

The previous prime is 42011211023. The next prime is 42011211029.

42011211024 is a `hidden beast` number, since 420 + 11 + 211 + 0 + 24 = 666.

42011211024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 30125850624 + 11885360400 = 173568^2 + 109020^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42011210988 and 42011211006.

It is not an unprimeable number, because it can be changed into a prime (42011211023) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 145872117 + ... + 145872404.

Almost surely, 2^42011211024 is an apocalyptic number.

It is an amenable number.

42011211024 is an abundant number, since it is smaller than the sum of its proper divisors (75561831342).

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

42011211024 is a wasteful number, since it uses less digits than its factorization.

42011211024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291744535 (or 291744526 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 42011211024 in words is "forty-two billion, eleven million, two hundred eleven thousand, twenty-four".