42126546556600 has 192 divisors, whose sum is σ = 107508356524800. Its totient is φ = 15224138880000.

The previous prime is 42126546556597. The next prime is 42126546556621. The reversal of 42126546556600 is 665564562124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3383380375 + ... + 3383392825.

It is an arithmetic number, because the mean of its divisors is an integer number (559939356900).

Almost surely, 2^{42126546556600} is an apocalyptic number.

42126546556600 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 42126546556600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53754178262400).

42126546556600 is an abundant number, since it is smaller than the sum of its proper divisors (65381809968200).

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

42126546556600 is a wasteful number, since it uses less digits than its factorization.

42126546556600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21854 (or 21845 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 52.

The spelling of 42126546556600 in words is "forty-two trillion, one hundred twenty-six billion, five hundred forty-six million, five hundred fifty-six thousand, six hundred".