2134241431140 has 192 divisors, whose sum is σ = 7356303360000. Its totient is φ = 450217059840.

The previous prime is 2134241431067. The next prime is 2134241431151. The reversal of 2134241431140 is 411341424312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2134241431098 and 2134241431107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31585111 + ... + 31652609.

It is an arithmetic number, because the mean of its divisors is an integer number (38314080000).

Almost surely, 2^{2134241431140} is an apocalyptic number.

2134241431140 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 2134241431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678151680000).

2134241431140 is an abundant number, since it is smaller than the sum of its proper divisors (5222061928860).

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

2134241431140 is a wasteful number, since it uses less digits than its factorization.

2134241431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73322 (or 73320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 2134241431140 its reverse (411341424312), we get a palindrome (2545582855452).

The spelling of 2134241431140 in words is "two trillion, one hundred thirty-four billion, two hundred forty-one million, four hundred thirty-one thousand, one hundred forty".