242544326400 has 648 divisors, whose sum is σ = 910586302080. Its totient is φ = 63865221120.

The previous prime is 242544326371. The next prime is 242544326407. The reversal of 242544326400 is 4623445242.

242544326400 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 4 + 4 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242544326407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129080661 + ... + 129082539.

Almost surely, 2^242544326400 is an apocalyptic number.

242544326400 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 242544326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455293151040).

242544326400 is an abundant number, since it is smaller than the sum of its proper divisors (668041975680).

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

242544326400 is an equidigital number, since it uses as much as digits as its factorization.

242544326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 242544326400 in words is "two hundred forty-two billion, five hundred forty-four million, three hundred twenty-six thousand, four hundred".