21041000022042 has 768 divisors, whose sum is σ = 64071641088000. Its totient is φ = 4813443532800.

The previous prime is 21041000022017. The next prime is 21041000022043. The reversal of 21041000022042 is 24022000014012.

21041000022042 is a `hidden beast` number, since 210 + 410 + 0 + 0 + 0 + 2 + 2 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21041000022043) 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 383 ways as a sum of consecutive naturals, for example, 19682880684 + ... + 19682881752.

It is an arithmetic number, because the mean of its divisors is an integer number (83426616000).

Almost surely, 2^{21041000022042} is an apocalyptic number.

21041000022042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21041000022042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32035820544000).

21041000022042 is an abundant number, since it is smaller than the sum of its proper divisors (43030641065958).

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

21041000022042 is a wasteful number, since it uses less digits than its factorization.

21041000022042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21041000022042 its reverse (24022000014012), we get a palindrome (45063000036054).

The spelling of 21041000022042 in words is "twenty-one trillion, forty-one billion, twenty-two thousand, forty-two".