1240430414304 has 24 divisors (see below), whose sum is σ = 3256129837800. Its totient is φ = 413476804736.

The previous prime is 1240430414299. The next prime is 1240430414341. The reversal of 1240430414304 is 4034140340421.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1240430414304² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6460574979 + ... + 6460575170.

It is an arithmetic number, because the mean of its divisors is an integer number (135672076575).

Almost surely, 2^{1240430414304} is an apocalyptic number.

It is an amenable number.

1240430414304 is an abundant number, since it is smaller than the sum of its proper divisors (2015699423496).

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

1240430414304 is a wasteful number, since it uses less digits than its factorization.

1240430414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12921150162 (or 12921150154 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1240430414304 its reverse (4034140340421), we get a palindrome (5274570754725).

The spelling of 1240430414304 in words is "one trillion, two hundred forty billion, four hundred thirty million, four hundred fourteen thousand, three hundred four".