4140324000 has 288 divisors, whose sum is σ = 15012781056. Its totient is φ = 1080153600.

The previous prime is 4140323983. The next prime is 4140324031. The reversal of 4140324000 is 4230414.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1690777 + ... + 1693223.

It is an arithmetic number, because the mean of its divisors is an integer number (52127712).

Almost surely, 2^4140324000 is an apocalyptic number.

4140324000 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 4140324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506390528).

4140324000 is an abundant number, since it is smaller than the sum of its proper divisors (10872457056).

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

4140324000 is a wasteful number, since it uses less digits than its factorization.

4140324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4140324000 is about 64345.3494823052. The cubic root of 4140324000 is about 1605.7506605935.

Adding to 4140324000 its reverse (4230414), we get a palindrome (4144554414).

The spelling of 4140324000 in words is "four billion, one hundred forty million, three hundred twenty-four thousand".