21416106004000 has 96 divisors (see below), whose sum is σ = 52758213580800. Its totient is φ = 8543839046400.

The previous prime is 21416106003961. The next prime is 21416106004049. The reversal of 21416106004000 is 40060161412.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5547360 + ... + 8579359.

It is an arithmetic number, because the mean of its divisors is an integer number (549564724800).

Almost surely, 2^{21416106004000} is an apocalyptic number.

21416106004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21416106004000 is an abundant number, since it is smaller than the sum of its proper divisors (31342107576800).

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

21416106004000 is a wasteful number, since it uses less digits than its factorization.

21416106004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14127123 (or 14127105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 21416106004000 its reverse (40060161412), we get a palindrome (21456166165412).

The spelling of 21416106004000 in words is "twenty-one trillion, four hundred sixteen billion, one hundred six million, four thousand".