42090993600 has 672 divisors, whose sum is σ = 156580978176. Its totient is φ = 9840230400.

The previous prime is 42090993563. The next prime is 42090993619. The reversal of 42090993600 is 639909024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76948527 + ... + 76949073.

It is an arithmetic number, because the mean of its divisors is an integer number (233007408).

Almost surely, 2^42090993600 is an apocalyptic number.

42090993600 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 42090993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78290489088).

42090993600 is an abundant number, since it is smaller than the sum of its proper divisors (114489984576).

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

42090993600 is a wasteful number, since it uses less digits than its factorization.

42090993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 42090993600 in words is "forty-two billion, ninety million, nine hundred ninety-three thousand, six hundred".