42008904000 has 672 divisors, whose sum is σ = 181879865856. Its totient is φ = 9035366400.

The previous prime is 42008903969. The next prime is 42008904059. The reversal of 42008904000 is 40980024.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8565549 + ... + 8570451.

Almost surely, 2^42008904000 is an apocalyptic number.

42008904000 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 42008904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90939932928).

42008904000 is an abundant number, since it is smaller than the sum of its proper divisors (139870961856).

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

42008904000 is a wasteful number, since it uses less digits than its factorization.

42008904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 42008904000 in words is "forty-two billion, eight million, nine hundred four thousand".