2141041944600 has 1920 divisors, whose sum is σ = 8967341053440. Its totient is φ = 470023741440.

The previous prime is 2141041944571. The next prime is 2141041944661. The reversal of 2141041944600 is 64491401412.

It is a happy number.

2141041944600 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 4 + 1 + 9 + 44 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 20009737747 + ... + 20009737853.

It is an arithmetic number, because the mean of its divisors is an integer number (4670490132).

Almost surely, 2^{2141041944600} is an apocalyptic number.

2141041944600 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 2141041944600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483670526720).

2141041944600 is an abundant number, since it is smaller than the sum of its proper divisors (6826299108840).

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

2141041944600 is a wasteful number, since it uses less digits than its factorization.

2141041944600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2141041944600 in words is "two trillion, one hundred forty-one billion, forty-one million, nine hundred forty-four thousand, six hundred".