42624649152 has 168 divisors, whose sum is σ = 126547565040. Its totient is φ = 13701058560.

The previous prime is 42624649057. The next prime is 42624649169. The reversal of 42624649152 is 25194642624.

It is a happy number.

42624649152 is a `hidden beast` number, since 4 + 2 + 624 + 6 + 4 + 9 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42624649098 and 42624649107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24737763 + ... + 24739485.

Almost surely, 2^42624649152 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 42624649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63273782520).

42624649152 is an abundant number, since it is smaller than the sum of its proper divisors (83922915888).

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

42624649152 is a wasteful number, since it uses less digits than its factorization.

42624649152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3238 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 42624649152 in words is "forty-two billion, six hundred twenty-four million, six hundred forty-nine thousand, one hundred fifty-two".