4242624000 has 320 divisors, whose sum is σ = 14860834560. Its totient is φ = 1070899200.

The previous prime is 4242623893. The next prime is 4242624007. The reversal of 4242624000 is 4262424.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242624007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3647419 + ... + 3648581.

It is an arithmetic number, because the mean of its divisors is an integer number (46440108).

Almost surely, 2^4242624000 is an apocalyptic number.

4242624000 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 4242624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430417280).

4242624000 is an abundant number, since it is smaller than the sum of its proper divisors (10618210560).

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

4242624000 is a wasteful number, since it uses less digits than its factorization.

4242624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4242624000 is about 65135.4281478214. The cubic root of 4242624000 is about 1618.8682844152.

Adding to 4242624000 its reverse (4262424), we get a palindrome (4246886424).

The spelling of 4242624000 in words is "four billion, two hundred forty-two million, six hundred twenty-four thousand".