240321281997840 has 640 divisors, whose sum is σ = 776703259238400. Its totient is φ = 61428745297920.

The previous prime is 240321281997821. The next prime is 240321281997877. The reversal of 240321281997840 is 48799182123042.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 118560078907 + ... + 118560080933.

It is an arithmetic number, because the mean of its divisors is an integer number (1213598842560).

Almost surely, 2^{240321281997840} is an apocalyptic number.

240321281997840 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 240321281997840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388351629619200).

240321281997840 is an abundant number, since it is smaller than the sum of its proper divisors (536381977240560).

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

240321281997840 is a wasteful number, since it uses less digits than its factorization.

240321281997840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 240321281997840 in words is "two hundred forty trillion, three hundred twenty-one billion, two hundred eighty-one million, nine hundred ninety-seven thousand, eight hundred forty".