21141283194900 has 288 divisors, whose sum is σ = 74439395573760. Its totient is φ = 5104738800000.

The previous prime is 21141283194887. The next prime is 21141283194919. The reversal of 21141283194900 is 949138214112.

21141283194900 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 128 + 31 + 9 + 490 + 0 = 666.

It is a super-2 number, since 2×21141283194900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6036717 + ... + 8872683.

It is an arithmetic number, because the mean of its divisors is an integer number (258470123520).

Almost surely, 2^{21141283194900} is an apocalyptic number.

21141283194900 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 21141283194900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37219697786880).

21141283194900 is an abundant number, since it is smaller than the sum of its proper divisors (53298112378860).

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

21141283194900 is a wasteful number, since it uses less digits than its factorization.

21141283194900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836252 (or 2836239 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 21141283194900 in words is "twenty-one trillion, one hundred forty-one billion, two hundred eighty-three million, one hundred ninety-four thousand, nine hundred".