21418166357400 has 384 divisors, whose sum is σ = 70434020059200. Its totient is φ = 5374486118400.

The previous prime is 21418166357233. The next prime is 21418166357453. The reversal of 21418166357400 is 475366181412.

It is a super-2 number, since 2×21418166357400² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21418166357400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711244744 + ... + 711274856.

Almost surely, 2^{21418166357400} is an apocalyptic number.

21418166357400 is a gapful number since it is divisible by the number (20) 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 21418166357400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35217010029600).

21418166357400 is an abundant number, since it is smaller than the sum of its proper divisors (49015853701800).

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

21418166357400 is a wasteful number, since it uses less digits than its factorization.

21418166357400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31199 (or 31190 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 21418166357400 in words is "twenty-one trillion, four hundred eighteen billion, one hundred sixty-six million, three hundred fifty-seven thousand, four hundred".