42041214024 has 32 divisors (see below), whose sum is σ = 107666526240. Its totient is φ = 13671939200.

The previous prime is 42041213971. The next prime is 42041214031.

42041214024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42041214024² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42041213985 and 42041214003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21361422 + ... + 21363389.

It is an arithmetic number, because the mean of its divisors is an integer number (3364578945).

Almost surely, 2^42041214024 is an apocalyptic number.

It is an amenable number.

42041214024 is an abundant number, since it is smaller than the sum of its proper divisors (65625312216).

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

42041214024 is a wasteful number, since it uses less digits than its factorization.

42041214024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42724861 (or 42724857 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 42041214024 in words is "forty-two billion, forty-one million, two hundred fourteen thousand, twenty-four".