6144130132400 has 360 divisors, whose sum is σ = 16160692618224. Its totient is φ = 2243668377600.

The previous prime is 6144130132391. The next prime is 6144130132411. The reversal of 6144130132400 is 42310314416.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2843187320 + ... + 2843189480.

Almost surely, 2^{6144130132400} 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 6144130132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8080346309112).

6144130132400 is an abundant number, since it is smaller than the sum of its proper divisors (10016562485824).

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

6144130132400 is a wasteful number, since it uses less digits than its factorization.

6144130132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 6144130132400 its reverse (42310314416), we get a palindrome (6186440446816).

The spelling of 6144130132400 in words is "six trillion, one hundred forty-four billion, one hundred thirty million, one hundred thirty-two thousand, four hundred".