400242042240000 has 880 divisors, whose sum is σ = 1354142788699008. Its totient is φ = 105053036544000.

The previous prime is 400242042239981. The next prime is 400242042240011. The reversal of 400242042240000 is 42240242004.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44142715467 + ... + 44142724533.

Almost surely, 2^{400242042240000} is an apocalyptic number.

400242042240000 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 400242042240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677071394349504).

400242042240000 is an abundant number, since it is smaller than the sum of its proper divisors (953900746459008).

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

400242042240000 is an equidigital number, since it uses as much as digits as its factorization.

400242042240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9437 counting only the distinct ones).

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

Adding to 400242042240000 its reverse (42240242004), we get a palindrome (400284282482004).

The spelling of 400242042240000 in words is "four hundred trillion, two hundred forty-two billion, forty-two million, two hundred forty thousand".