42507339840 has 896 divisors, whose sum is σ = 177759360000. Its totient is φ = 9362276352.

The previous prime is 42507339839. The next prime is 42507339863. The reversal of 42507339840 is 4893370524.

42507339840 is a `hidden beast` number, since 4 + 250 + 7 + 3 + 398 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 285284086 + ... + 285284234.

Almost surely, 2^42507339840 is an apocalyptic number.

42507339840 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 42507339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88879680000).

42507339840 is an abundant number, since it is smaller than the sum of its proper divisors (135252020160).

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

42507339840 is a wasteful number, since it uses less digits than its factorization.

42507339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 42507339840 in words is "forty-two billion, five hundred seven million, three hundred thirty-nine thousand, eight hundred forty".