2111129446400 has 576 divisors, whose sum is σ = 5916896294400. Its totient is φ = 741196431360.

The previous prime is 2111129446381. The next prime is 2111129446403. The reversal of 2111129446400 is 46449211112.

It is not an unprimeable number, because it can be changed into a prime (2111129446403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3658802912 + ... + 3658803488.

It is an arithmetic number, because the mean of its divisors is an integer number (10272389400).

Almost surely, 2^{2111129446400} is an apocalyptic number.

2111129446400 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 2111129446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958448147200).

2111129446400 is an abundant number, since it is smaller than the sum of its proper divisors (3805766848000).

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

2111129446400 is a wasteful number, since it uses less digits than its factorization.

2111129446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 2111129446400 in words is "two trillion, one hundred eleven billion, one hundred twenty-nine million, four hundred forty-six thousand, four hundred".