4240240440400 has 120 divisors (see below), whose sum is σ = 10783541371680. Its totient is φ = 1599525957120.

The previous prime is 4240240440349. The next prime is 4240240440407. The reversal of 4240240440400 is 40440420424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240240440407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3751642 + ... + 4749241.

It is an arithmetic number, because the mean of its divisors is an integer number (89862844764).

Almost surely, 2^{4240240440400} is an apocalyptic number.

4240240440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4240240440400 is an abundant number, since it is smaller than the sum of its proper divisors (6543300931280).

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

4240240440400 is a wasteful number, since it uses less digits than its factorization.

4240240440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500973 (or 8500962 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4240240440400 its reverse (40440420424), we get a palindrome (4280680860824).

The spelling of 4240240440400 in words is "four trillion, two hundred forty billion, two hundred forty million, four hundred forty thousand, four hundred".