242319554400 has 1152 divisors, whose sum is σ = 1048828870656. Its totient is φ = 47099289600.

The previous prime is 242319554341. The next prime is 242319554461. The reversal of 242319554400 is 4455913242.

It is a super-2 number, since 2×242319554400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 199768194 + ... + 199769406.

It is an arithmetic number, because the mean of its divisors is an integer number (910441728).

Almost surely, 2^242319554400 is an apocalyptic number.

242319554400 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 242319554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524414435328).

242319554400 is an abundant number, since it is smaller than the sum of its proper divisors (806509316256).

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

242319554400 is a wasteful number, since it uses less digits than its factorization.

242319554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 242319554400 in words is "two hundred forty-two billion, three hundred nineteen million, five hundred fifty-four thousand, four hundred".