4240114431200 has 72 divisors (see below), whose sum is σ = 10388016843120. Its totient is φ = 1690009932800.

The previous prime is 4240114431149. The next prime is 4240114431229. The reversal of 4240114431200 is 21344110424.

It is a self number, because there is not a number n which added to its sum of digits gives 4240114431200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9206060 + ... + 9655659.

It is an arithmetic number, because the mean of its divisors is an integer number (144278011710).

Almost surely, 2^{4240114431200} is an apocalyptic number.

4240114431200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4240114431200 is an abundant number, since it is smaller than the sum of its proper divisors (6147902411920).

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

4240114431200 is a wasteful number, since it uses less digits than its factorization.

4240114431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18862020 (or 18862007 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4240114431200 its reverse (21344110424), we get a palindrome (4261458541624).

The spelling of 4240114431200 in words is "four trillion, two hundred forty billion, one hundred fourteen million, four hundred thirty-one thousand, two hundred".