42490729008 has 960 divisors, whose sum is σ = 162075340800. Its totient is φ = 10416107520.

The previous prime is 42490728967. The next prime is 42490729103. The reversal of 42490729008 is 80092709424.

42490729008 is a `hidden beast` number, since 4 + 2 + 490 + 72 + 90 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 696569298 + ... + 696569358.

It is an arithmetic number, because the mean of its divisors is an integer number (168828480).

Almost surely, 2^42490729008 is an apocalyptic number.

42490729008 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 42490729008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81037670400).

42490729008 is an abundant number, since it is smaller than the sum of its proper divisors (119584611792).

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

42490729008 is a wasteful number, since it uses less digits than its factorization.

42490729008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 42490729008 in words is "forty-two billion, four hundred ninety million, seven hundred twenty-nine thousand, eight".