42104721126600 has 384 divisors, whose sum is σ = 163667261232000. Its totient is φ = 9855232128000.

The previous prime is 42104721126599. The next prime is 42104721126617. The reversal of 42104721126600 is 662112740124.

42104721126600 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 4 + 7 + 21 + 1 + 26 + 600 = 666.

It is a super-2 number, since 2×42104721126600² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10498671 + ... + 13943870.

It is an arithmetic number, because the mean of its divisors is an integer number (426216826125).

Almost surely, 2^{42104721126600} is an apocalyptic number.

42104721126600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42104721126600 is an abundant number, since it is smaller than the sum of its proper divisors (121562540105400).

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

42104721126600 is a wasteful number, since it uses less digits than its factorization.

42104721126600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24442606 (or 24442591 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 42104721126600 its reverse (662112740124), we get a palindrome (42766833866724).

The spelling of 42104721126600 in words is "forty-two trillion, one hundred four billion, seven hundred twenty-one million, one hundred twenty-six thousand, six hundred".