2141400202200 has 1536 divisors, whose sum is σ = 9146628864000. Its totient is φ = 449639424000.

The previous prime is 2141400202169. The next prime is 2141400202211. The reversal of 2141400202200 is 22020041412.

2141400202200 is a `hidden beast` number, since 2 + 1 + 41 + 400 + 2 + 0 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3844524322 + ... + 3844524878.

It is an arithmetic number, because the mean of its divisors is an integer number (5954836500).

Almost surely, 2^{2141400202200} is an apocalyptic number.

2141400202200 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 2141400202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573314432000).

2141400202200 is an abundant number, since it is smaller than the sum of its proper divisors (7005228661800).

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

2141400202200 is a wasteful number, since it uses less digits than its factorization.

2141400202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 747 counting only the distinct ones).

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

Adding to 2141400202200 its reverse (22020041412), we get a palindrome (2163420243612).

The spelling of 2141400202200 in words is "two trillion, one hundred forty-one billion, four hundred million, two hundred two thousand, two hundred".