2400442400420 has 48 divisors (see below), whose sum is σ = 5330455312896. Its totient is φ = 906540000000.

The previous prime is 2400442400407. The next prime is 2400442400443. The reversal of 2400442400420 is 240042440042.

It is a self number, because there is not a number n which added to its sum of digits gives 2400442400420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47190206 + ... + 47241045.

It is an arithmetic number, because the mean of its divisors is an integer number (111051152352).

Almost surely, 2^{2400442400420} is an apocalyptic number.

2400442400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400442400420 is an abundant number, since it is smaller than the sum of its proper divisors (2930012912476).

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

2400442400420 is a wasteful number, since it uses less digits than its factorization.

2400442400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94431332 (or 94431330 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2400442400420 its reverse (240042440042), we get a palindrome (2640484840462).

The spelling of 2400442400420 in words is "two trillion, four hundred billion, four hundred forty-two million, four hundred thousand, four hundred twenty".