42126285600 has 1008 divisors, whose sum is σ = 186891038208. Its totient is φ = 9047531520.

The previous prime is 42126285599. The next prime is 42126285653. The reversal of 42126285600 is 658262124.

It is a happy number.

42126285600 is a `hidden beast` number, since 4 + 2 + 1 + 26 + 28 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 167 ways as a sum of consecutive naturals, for example, 69400497 + ... + 69401103.

It is an arithmetic number, because the mean of its divisors is an integer number (185407776).

Almost surely, 2^42126285600 is an apocalyptic number.

42126285600 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 42126285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93445519104).

42126285600 is an abundant number, since it is smaller than the sum of its proper divisors (144764752608).

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

42126285600 is a wasteful number, since it uses less digits than its factorization.

42126285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42126285600 in words is "forty-two billion, one hundred twenty-six million, two hundred eighty-five thousand, six hundred".