42090048000 has 1920 divisors, whose sum is σ = 206335793664. Its totient is φ = 7962624000.

The previous prime is 42090047999. The next prime is 42090048041. The reversal of 42090048000 is 84009024.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 576575964 + ... + 576576036.

Almost surely, 2^42090048000 is an apocalyptic number.

42090048000 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 42090048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103167896832).

42090048000 is an abundant number, since it is smaller than the sum of its proper divisors (164245745664).

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

42090048000 is a wasteful number, since it uses less digits than its factorization.

42090048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

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

The spelling of 42090048000 in words is "forty-two billion, ninety million, forty-eight thousand".