240414121012024 has 64 divisors (see below), whose sum is σ = 473552443584000. Its totient is φ = 114206018070144.

The previous prime is 240414121012003. The next prime is 240414121012057. The reversal of 240414121012024 is 420210121414042.

It is a junction number, because it is equal to n+sod(n) for n = 240414121011983 and 240414121012001.

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 15 ways as a sum of consecutive naturals, for example, 16176259 + ... + 27248845.

It is an arithmetic number, because the mean of its divisors is an integer number (7399256931000).

Almost surely, 2^{240414121012024} is an apocalyptic number.

It is an amenable number.

240414121012024 is a deficient number, since it is larger than the sum of its proper divisors (233138322571976).

240414121012024 is a wasteful number, since it uses less digits than its factorization.

240414121012024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11073412 (or 11073408 counting only the distinct ones).

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

Adding to 240414121012024 its reverse (420210121414042), we get a palindrome (660624242426066).

The spelling of 240414121012024 in words is "two hundred forty trillion, four hundred fourteen billion, one hundred twenty-one million, twelve thousand, twenty-four".