42126211605600 has 216 divisors, whose sum is σ = 153669883872960. Its totient is φ = 10846288911360.

The previous prime is 42126211605593. The next prime is 42126211605649. The reversal of 42126211605600 is 650611262124.

42126211605600 is a `hidden beast` number, since 4 + 2 + 1 + 26 + 2 + 11 + 60 + 560 + 0 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 100668144 + ... + 101085743.

It is an arithmetic number, because the mean of its divisors is an integer number (711434647560).

Almost surely, 2^{42126211605600} is an apocalyptic number.

42126211605600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42126211605600 is an abundant number, since it is smaller than the sum of its proper divisors (111543672267360).

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

42126211605600 is a wasteful number, since it uses less digits than its factorization.

42126211605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201753942 (or 201753926 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 42126211605600 its reverse (650611262124), we get a palindrome (42776822867724).

The spelling of 42126211605600 in words is "forty-two trillion, one hundred twenty-six billion, two hundred eleven million, six hundred five thousand, six hundred".