4000252432400 has 240 divisors, whose sum is σ = 11566263878400. Its totient is φ = 1299846113280.

The previous prime is 4000252432369. The next prime is 4000252432441. The reversal of 4000252432400 is 42342520004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4000252432400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6734666 + ... + 7304534.

It is an arithmetic number, because the mean of its divisors is an integer number (48192766160).

Almost surely, 2^{4000252432400} is an apocalyptic number.

4000252432400 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 4000252432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783131939200).

4000252432400 is an abundant number, since it is smaller than the sum of its proper divisors (7566011446000).

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

4000252432400 is a wasteful number, since it uses less digits than its factorization.

4000252432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570026 (or 570015 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 4000252432400 its reverse (42342520004), we get a palindrome (4042594952404).

The spelling of 4000252432400 in words is "four trillion, two hundred fifty-two million, four hundred thirty-two thousand, four hundred".