42624020460 has 96 divisors (see below), whose sum is σ = 136510036992. Its totient is φ = 9734549760.

The previous prime is 42624020441. The next prime is 42624020489. The reversal of 42624020460 is 6402042624.

It is a super-2 number, since 2×42624020460² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472170 + ... + 555150.

It is an arithmetic number, because the mean of its divisors is an integer number (1421979552).

Almost surely, 2^42624020460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42624020460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68255018496).

42624020460 is an abundant number, since it is smaller than the sum of its proper divisors (93886016532).

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

42624020460 is a wasteful number, since it uses less digits than its factorization.

42624020460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84223 (or 84221 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 42624020460 in words is "forty-two billion, six hundred twenty-four million, twenty thousand, four hundred sixty".