2134233402400 has 144 divisors (see below), whose sum is σ = 5687157123648. Its totient is φ = 775633536000.

The previous prime is 2134233402391. The next prime is 2134233402449. The reversal of 2134233402400 is 42043324312.

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, 15251149 + ... + 15390451.

It is an arithmetic number, because the mean of its divisors is an integer number (39494146692).

Almost surely, 2^{2134233402400} is an apocalyptic number.

2134233402400 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 2134233402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843578561824).

2134233402400 is an abundant number, since it is smaller than the sum of its proper divisors (3552923721248).

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

2134233402400 is a wasteful number, since it uses less digits than its factorization.

2134233402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141075 (or 141062 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2134233402400 its reverse (42043324312), we get a palindrome (2176276726712).

The spelling of 2134233402400 in words is "two trillion, one hundred thirty-four billion, two hundred thirty-three million, four hundred two thousand, four hundred".