240285461584896 has 1584 divisors, whose sum is σ = 924110516556864. Its totient is φ = 59471203663872.

The previous prime is 240285461584849. The next prime is 240285461584939. The reversal of 240285461584896 is 698485164582042.

240285461584896 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 8 + 5 + 461 + 5 + 84 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 7156234860 + ... + 7156268436.

Almost surely, 2^{240285461584896} is an apocalyptic number.

240285461584896 is a gapful number since it is divisible by the number (26) 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 240285461584896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462055258278432).

240285461584896 is an abundant number, since it is smaller than the sum of its proper divisors (683825054971968).

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

240285461584896 is a wasteful number, since it uses less digits than its factorization.

240285461584896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33706 (or 33678 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 240285461584896 in words is "two hundred forty trillion, two hundred eighty-five billion, four hundred sixty-one million, five hundred eighty-four thousand, eight hundred ninety-six".