4134134403140 has 96 divisors (see below), whose sum is σ = 10168626048000. Its totient is φ = 1411227377280.

The previous prime is 4134134403121. The next prime is 4134134403227. The reversal of 4134134403140 is 413044314314.

It is a junction number, because it is equal to n+sod(n) for n = 4134134403097 and 4134134403106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255125 + ... + 2886755.

It is an arithmetic number, because the mean of its divisors is an integer number (105923188000).

Almost surely, 2^{4134134403140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134134403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084313024000).

4134134403140 is an abundant number, since it is smaller than the sum of its proper divisors (6034491644860).

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

4134134403140 is a wasteful number, since it uses less digits than its factorization.

4134134403140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631890 (or 2631874 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4134134403140 its reverse (413044314314), we get a palindrome (4547178717454).

The spelling of 4134134403140 in words is "four trillion, one hundred thirty-four billion, one hundred thirty-four million, four hundred three thousand, one hundred forty".