42630743232 has 1260 divisors, whose sum is σ = 172415895960. Its totient is φ = 10346434560.

The previous prime is 42630743173. The next prime is 42630743249. The reversal of 42630743232 is 23234703624.

42630743232 is a `hidden beast` number, since 4 + 26 + 307 + 4 + 323 + 2 = 666.

42630743232 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 179 ways as a sum of consecutive naturals, for example, 583982748 + ... + 583982820.

Almost surely, 2^42630743232 is an apocalyptic number.

42630743232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42630743232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86207947980).

42630743232 is an abundant number, since it is smaller than the sum of its proper divisors (129785152728).

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

42630743232 is a wasteful number, since it uses less digits than its factorization.

42630743232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 42630743232 in words is "forty-two billion, six hundred thirty million, seven hundred forty-three thousand, two hundred thirty-two".