42100022764800 has 1728 divisors, whose sum is σ = 207275586846720. Its totient is φ = 8075096064000.

The previous prime is 42100022764799. The next prime is 42100022764801. The reversal of 42100022764800 is 846722000124.

42100022764800 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 0 + 0 + 2 + 2 + 7 + 648 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42100022764799) and next prime (42100022764801).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×42100022764800² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100022764801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172851105 + ... + 173094495.

Almost surely, 2^{42100022764800} is an apocalyptic number.

42100022764800 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 42100022764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103637793423360).

42100022764800 is an abundant number, since it is smaller than the sum of its proper divisors (165175564081920).

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

42100022764800 is a wasteful number, since it uses less digits than its factorization.

42100022764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243457 (or 243432 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 42100022764800 its reverse (846722000124), we get a palindrome (42946744764924).

The spelling of 42100022764800 in words is "forty-two trillion, one hundred billion, twenty-two million, seven hundred sixty-four thousand, eight hundred".