413013243440 has 40 divisors (see below), whose sum is σ = 1097435191200. Its totient is φ = 141604540416.

The previous prime is 413013243437. The next prime is 413013243473. The reversal of 413013243440 is 44342310314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368761265 + ... + 368762384.

It is an arithmetic number, because the mean of its divisors is an integer number (27435879780).

Almost surely, 2^413013243440 is an apocalyptic number.

413013243440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413013243440 is an abundant number, since it is smaller than the sum of its proper divisors (684421947760).

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

413013243440 is a wasteful number, since it uses less digits than its factorization.

413013243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737523669 (or 737523663 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 413013243440 its reverse (44342310314), we get a palindrome (457355553754).

The spelling of 413013243440 in words is "four hundred thirteen billion, thirteen million, two hundred forty-three thousand, four hundred forty".