4240442400 has 144 divisors (see below), whose sum is σ = 13895235648. Its totient is φ = 1123200000.

The previous prime is 4240442399. The next prime is 4240442417. The reversal of 4240442400 is 42440424.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356550 + ... + 368250.

It is an arithmetic number, because the mean of its divisors is an integer number (96494692).

Almost surely, 2^4240442400 is an apocalyptic number.

4240442400 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 4240442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947617824).

4240442400 is an abundant number, since it is smaller than the sum of its proper divisors (9654793248).

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

4240442400 is a wasteful number, since it uses less digits than its factorization.

4240442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11875 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4240442400 is about 65118.6793477878. The cubic root of 4240442400 is about 1618.5907573807.

Adding to 4240442400 its reverse (42440424), we get a palindrome (4282882824).

The spelling of 4240442400 in words is "four billion, two hundred forty million, four hundred forty-two thousand, four hundred".