42016461024 has 48 divisors (see below), whose sum is σ = 111430278288. Its totient is φ = 13861097472.

The previous prime is 42016460989. The next prime is 42016461049.

It is a happy number.

42016461024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×42016461024² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42016460982 and 42016461000.

It is a congruent number.

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, 2246727 + ... + 2265350.

It is an arithmetic number, because the mean of its divisors is an integer number (2321464131).

Almost surely, 2^42016461024 is an apocalyptic number.

It is an amenable number.

42016461024 is an abundant number, since it is smaller than the sum of its proper divisors (69413817264).

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

42016461024 is a wasteful number, since it uses less digits than its factorization.

42016461024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4512187 (or 4512179 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 42016461024 in words is "forty-two billion, sixteen million, four hundred sixty-one thousand, twenty-four".