2141400411200 has 168 divisors, whose sum is σ = 5550370631520. Its totient is φ = 810913075200.

The previous prime is 2141400411191. The next prime is 2141400411223. The reversal of 2141400411200 is 21140041412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44998619 + ... + 45046181.

Almost surely, 2^{2141400411200} is an apocalyptic number.

2141400411200 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 2141400411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775185315760).

2141400411200 is an abundant number, since it is smaller than the sum of its proper divisors (3408970220320).

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

2141400411200 is a wasteful number, since it uses less digits than its factorization.

2141400411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49085 (or 49070 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2141400411200 its reverse (21140041412), we get a palindrome (2162540452612).

The spelling of 2141400411200 in words is "two trillion, one hundred forty-one billion, four hundred million, four hundred eleven thousand, two hundred".