42460624224 has 384 divisors, whose sum is σ = 136684800000. Its totient is φ = 12771053568.

The previous prime is 42460624183. The next prime is 42460624259. The reversal of 42460624224 is 42242606424.

42460624224 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 0 + 624 + 2 + 24 = 666.

42460624224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37608492 + ... + 37609620.

It is an arithmetic number, because the mean of its divisors is an integer number (355950000).

Almost surely, 2^42460624224 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 42460624224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68342400000).

42460624224 is an abundant number, since it is smaller than the sum of its proper divisors (94224175776).

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

42460624224 is a wasteful number, since it uses less digits than its factorization.

42460624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 42460624224 in words is "forty-two billion, four hundred sixty million, six hundred twenty-four thousand, two hundred twenty-four".