4131400000 has 336 divisors, whose sum is σ = 12667439232. Its totient is φ = 1301760000.

The previous prime is 4131399997. The next prime is 4131400019. The reversal of 4131400000 is 41314.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18199887 + ... + 18200113.

It is an arithmetic number, because the mean of its divisors is an integer number (37700712).

Almost surely, 2^4131400000 is an apocalyptic number.

4131400000 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 4131400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333719616).

4131400000 is an abundant number, since it is smaller than the sum of its proper divisors (8536039232).

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

4131400000 is an equidigital number, since it uses as much as digits as its factorization.

4131400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4131400000 is about 64275.9675150830. The cubic root of 4131400000 is about 1604.5961594318.

Adding to 4131400000 its reverse (41314), we get a palindrome (4131441314).

4131400000 divided by its reverse (41314) gives a 5-th power (100000 = 10⁵).

The spelling of 4131400000 in words is "four billion, one hundred thirty-one million, four hundred thousand".