4134540442400 has 144 divisors (see below), whose sum is σ = 10202078900160. Its totient is φ = 1636110873600.

The previous prime is 4134540442313. The next prime is 4134540442441. The reversal of 4134540442400 is 42440454314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28116266 + ... + 28262934.

It is an arithmetic number, because the mean of its divisors is an integer number (70847770140).

Almost surely, 2^{4134540442400} is an apocalyptic number.

4134540442400 is a gapful number since it is divisible by the number (40) 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 4134540442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101039450080).

4134540442400 is an abundant number, since it is smaller than the sum of its proper divisors (6067538457760).

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

4134540442400 is a wasteful number, since it uses less digits than its factorization.

4134540442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147067 (or 147054 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 4134540442400 its reverse (42440454314), we get a palindrome (4176980896714).

The spelling of 4134540442400 in words is "four trillion, one hundred thirty-four billion, five hundred forty million, four hundred forty-two thousand, four hundred".