2134012442400 has 216 divisors, whose sum is σ = 7534815904980. Its totient is φ = 568332318720.

The previous prime is 2134012442399. The next prime is 2134012442431. The reversal of 2134012442400 is 42442104312.

2134012442400 is a `hidden beast` number, since 2 + 13 + 4 + 0 + 1 + 244 + 2 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 554053945104 + 1579958497296 = 744348^2 + 1256964^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5373886 + ... + 5757314.

Almost surely, 2^{2134012442400} is an apocalyptic number.

2134012442400 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 2134012442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767407952490).

2134012442400 is an abundant number, since it is smaller than the sum of its proper divisors (5400803462580).

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

2134012442400 is a wasteful number, since it uses less digits than its factorization.

2134012442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384228 (or 384212 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2134012442400 its reverse (42442104312), we get a palindrome (2176454546712).

The spelling of 2134012442400 in words is "two trillion, one hundred thirty-four billion, twelve million, four hundred forty-two thousand, four hundred".