42439864320 has 936 divisors, whose sum is σ = 177133192704. Its totient is φ = 9364045824.

The previous prime is 42439864301. The next prime is 42439864331. The reversal of 42439864320 is 2346893424.

42439864320 is a `hidden beast` number, since 4 + 243 + 9 + 86 + 4 + 320 = 666.

It is a super-2 number, since 2×42439864320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334172097 + ... + 334172223.

It is an arithmetic number, because the mean of its divisors is an integer number (189244864).

Almost surely, 2^42439864320 is an apocalyptic number.

42439864320 is a gapful number since it is divisible by the number (40) 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 42439864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88566596352).

42439864320 is an abundant number, since it is smaller than the sum of its proper divisors (134693328384).

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

42439864320 is a wasteful number, since it uses less digits than its factorization.

42439864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 42439864320 in words is "forty-two billion, four hundred thirty-nine million, eight hundred sixty-four thousand, three hundred twenty".