4239950400 has 504 divisors, whose sum is σ = 17988625440. Its totient is φ = 968647680.

The previous prime is 4239950357. The next prime is 4239950411. The reversal of 4239950400 is 40599324.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 2115799 + ... + 2117801.

Almost surely, 2^4239950400 is an apocalyptic number.

4239950400 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 4239950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994312720).

4239950400 is an abundant number, since it is smaller than the sum of its proper divisors (13748675040).

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

4239950400 is a wasteful number, since it uses less digits than its factorization.

4239950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4239950400 is about 65114.9015203125. The cubic root of 4239950400 is about 1618.5281556222.

The spelling of 4239950400 in words is "four billion, two hundred thirty-nine million, nine hundred fifty thousand, four hundred".