240340225101024 has 48 divisors (see below), whose sum is σ = 637397143398288. Its totient is φ = 79287496937472.

The previous prime is 240340225101001. The next prime is 240340225101049. The reversal of 240340225101024 is 420101522043042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×240340225101024³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 240340225100982 and 240340225101000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12904856727 + ... + 12904875350.

It is an arithmetic number, because the mean of its divisors is an integer number (13279107154131).

Almost surely, 2^{240340225101024} is an apocalyptic number.

240340225101024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240340225101024 is an abundant number, since it is smaller than the sum of its proper divisors (397056918297264).

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

240340225101024 is a wasteful number, since it uses less digits than its factorization.

240340225101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25809732187 (or 25809732179 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 240340225101024 its reverse (420101522043042), we get a palindrome (660441747144066).

The spelling of 240340225101024 in words is "two hundred forty trillion, three hundred forty billion, two hundred twenty-five million, one hundred one thousand, twenty-four".