240916341390400 has 567 divisors, whose sum is σ = 677907412682463. Its totient is φ = 84218308761600.

The previous prime is 240916341390379. The next prime is 240916341390437. The reversal of 240916341390400 is 4093143619042.

The square root of 240916341390400 is 15521480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 62096543378496 + 178819798011904 = 7880136^2 + 13372352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 153352221615 + ... + 153352223185.

Almost surely, 2^{240916341390400} is an apocalyptic number.

240916341390400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

240916341390400 is the 15521480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240916341390400

240916341390400 is an abundant number, since it is smaller than the sum of its proper divisors (436991071292063).

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

240916341390400 is an equidigital number, since it uses as much as digits as its factorization.

240916341390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 240916341390400 in words is "two hundred forty trillion, nine hundred sixteen billion, three hundred forty-one million, three hundred ninety thousand, four hundred".