242400400000 has 384 divisors, whose sum is σ = 666941688000. Its totient is φ = 87014400000.

The previous prime is 242400399961. The next prime is 242400400013. The reversal of 242400400000 is 4004242.

242400400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391599691 + ... + 391600309.

Almost surely, 2^242400400000 is an apocalyptic number.

242400400000 is a gapful number since it is divisible by the number (20) 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 242400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333470844000).

242400400000 is an abundant number, since it is smaller than the sum of its proper divisors (424541288000).

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

242400400000 is an frugal number, since it uses more digits than its factorization.

242400400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 242400400000 its reverse (4004242), we get a palindrome (242404404242).

The spelling of 242400400000 in words is "two hundred forty-two billion, four hundred million, four hundred thousand".