6126143400 has 480 divisors, whose sum is σ = 24135434400. Its totient is φ = 1427673600.

The previous prime is 6126143389. The next prime is 6126143501. The reversal of 6126143400 is 43416216.

6126143400 is a `hidden beast` number, since 6 + 1 + 2 + 614 + 3 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4000635 + ... + 4002165.

It is an arithmetic number, because the mean of its divisors is an integer number (50282155).

Almost surely, 2^6126143400 is an apocalyptic number.

6126143400 is a gapful number since it is divisible by the number (60) 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 6126143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067717200).

6126143400 is an abundant number, since it is smaller than the sum of its proper divisors (18009291000).

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

6126143400 is a wasteful number, since it uses less digits than its factorization.

6126143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6126143400 is about 78269.6837862528. The cubic root of 6126143400 is about 1829.7666996324.

Adding to 6126143400 its reverse (43416216), we get a palindrome (6169559616).

The spelling of 6126143400 in words is "six billion, one hundred twenty-six million, one hundred forty-three thousand, four hundred".