4242240440400 has 120 divisors (see below), whose sum is σ = 13709570031360. Its totient is φ = 1121252894720.

The previous prime is 4242240440359. The next prime is 4242240440401. The reversal of 4242240440400 is 40440422424.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242240440401) 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, 15506880 + ... + 15778079.

It is an arithmetic number, because the mean of its divisors is an integer number (114246416928).

Almost surely, 2^{4242240440400} is an apocalyptic number.

4242240440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242240440400 is an abundant number, since it is smaller than the sum of its proper divisors (9467329590960).

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

4242240440400 is a wasteful number, since it uses less digits than its factorization.

4242240440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31285093 (or 31285082 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 4242240440400 its reverse (40440422424), we get a palindrome (4282680862824).

The spelling of 4242240440400 in words is "four trillion, two hundred forty-two billion, two hundred forty million, four hundred forty thousand, four hundred".