240141798057984 has 192 divisors, whose sum is σ = 657676557457920. Its totient is φ = 77865883729920.

The previous prime is 240141798057979. The next prime is 240141798058039. The reversal of 240141798057984 is 489750897141042.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×240141798057984² (a number of 30 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1004897617 + ... + 1005136559.

It is an arithmetic number, because the mean of its divisors is an integer number (3425398736760).

Almost surely, 2^{240141798057984} is an apocalyptic number.

240141798057984 is a gapful number since it is divisible by the number (24) 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 240141798057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328838278728960).

240141798057984 is an abundant number, since it is smaller than the sum of its proper divisors (417534759399936).

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

240141798057984 is a wasteful number, since it uses less digits than its factorization.

240141798057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243426 (or 243406 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 240141798057984 in words is "two hundred forty trillion, one hundred forty-one billion, seven hundred ninety-eight million, fifty-seven thousand, nine hundred eighty-four".