240412414101220 has 48 divisors (see below), whose sum is σ = 505018943690688. Its totient is φ = 96135850293120.

The previous prime is 240412414101149. The next prime is 240412414101253. The reversal of 240412414101220 is 22101414214042.

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 15 ways as a sum of consecutive naturals, for example, 1186411510 + ... + 1186614130.

It is an arithmetic number, because the mean of its divisors is an integer number (10521227993556).

Almost surely, 2^{240412414101220} is an apocalyptic number.

240412414101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240412414101220 is an abundant number, since it is smaller than the sum of its proper divisors (264606529589468).

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

240412414101220 is a wasteful number, since it uses less digits than its factorization.

240412414101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220300 (or 220298 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 240412414101220 its reverse (22101414214042), we get a palindrome (262513828315262).

The spelling of 240412414101220 in words is "two hundred forty trillion, four hundred twelve billion, four hundred fourteen million, one hundred one thousand, two hundred twenty".