242370598400 has 480 divisors, whose sum is σ = 718976839680. Its totient is φ = 79220736000.

The previous prime is 242370598399. The next prime is 242370598429. The reversal of 242370598400 is 4895073242.

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 47 ways as a sum of consecutive naturals, for example, 197208986 + ... + 197210214.

It is an arithmetic number, because the mean of its divisors is an integer number (1497868416).

Almost surely, 2^242370598400 is an apocalyptic number.

242370598400 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 242370598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359488419840).

242370598400 is an abundant number, since it is smaller than the sum of its proper divisors (476606241280).

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

242370598400 is a wasteful number, since it uses less digits than its factorization.

242370598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 242370598400 in words is "two hundred forty-two billion, three hundred seventy million, five hundred ninety-eight thousand, four hundred".