2010441400000 has 336 divisors, whose sum is σ = 5496501888864. Its totient is φ = 723456000000.

The previous prime is 2010441399983. The next prime is 2010441400003. The reversal of 2010441400000 is 41440102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2010441400003) 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, 213395290 + ... + 213404710.

It is an arithmetic number, because the mean of its divisors is an integer number (16358636574).

Almost surely, 2^{2010441400000} is an apocalyptic number.

2010441400000 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 2010441400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748250944432).

2010441400000 is an abundant number, since it is smaller than the sum of its proper divisors (3486060488864).

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

2010441400000 is an frugal number, since it uses more digits than its factorization.

2010441400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9566 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2010441400000 its reverse (41440102), we get a palindrome (2010482840102).

The spelling of 2010441400000 in words is "two trillion, ten billion, four hundred forty-one million, four hundred thousand".