42506529408 has 480 divisors, whose sum is σ = 151954704000. Its totient is φ = 11748602880.

The previous prime is 42506529341. The next prime is 42506529437. The reversal of 42506529408 is 80492560524.

42506529408 is a `hidden beast` number, since 4 + 2 + 506 + 52 + 94 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15747643 + ... + 15750341.

It is an arithmetic number, because the mean of its divisors is an integer number (316572300).

Almost surely, 2^42506529408 is an apocalyptic number.

42506529408 is a gapful number since it is divisible by the number (48) 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 42506529408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75977352000).

42506529408 is an abundant number, since it is smaller than the sum of its proper divisors (109448174592).

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

42506529408 is a wasteful number, since it uses less digits than its factorization.

42506529408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 42506529408 in words is "forty-two billion, five hundred six million, five hundred twenty-nine thousand, four hundred eight".