242578346400 has 432 divisors, whose sum is σ = 955319418144. Its totient is φ = 59710970880.

The previous prime is 242578346377. The next prime is 242578346533. The reversal of 242578346400 is 4643875242.

It is a happy number.

242578346400 is a `hidden beast` number, since 2 + 4 + 2 + 578 + 34 + 6 + 40 + 0 = 666.

242578346400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2479207 + ... + 2575193.

It is an arithmetic number, because the mean of its divisors is an integer number (2211387542).

Almost surely, 2^242578346400 is an apocalyptic number.

242578346400 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 242578346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477659709072).

242578346400 is an abundant number, since it is smaller than the sum of its proper divisors (712741071744).

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

242578346400 is a wasteful number, since it uses less digits than its factorization.

242578346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96035 (or 96010 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 242578346400 in words is "two hundred forty-two billion, five hundred seventy-eight million, three hundred forty-six thousand, four hundred".