42460006424 has 48 divisors (see below), whose sum is σ = 89369935200. Its totient is φ = 18889344320.

The previous prime is 42460006409. The next prime is 42460006427.

42460006424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42460006424² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42460006427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421139 + ... + 512130.

It is an arithmetic number, because the mean of its divisors is an integer number (1861873650).

Almost surely, 2^42460006424 is an apocalyptic number.

42460006424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42460006424 is an abundant number, since it is smaller than the sum of its proper divisors (46909928776).

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

42460006424 is a wasteful number, since it uses less digits than its factorization.

42460006424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933344 (or 933329 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 42460006424 in words is "forty-two billion, four hundred sixty million, six thousand, four hundred twenty-four".