413144432545040 has 160 divisors (see below), whose sum is σ = 1223536099749120. Its totient is φ = 126300500508672.

The previous prime is 413144432545037. The next prime is 413144432545051. The reversal of 413144432545040 is 40545234441314.

It is a junction number, because it is equal to n+sod(n) for n = 413144432544982 and 413144432545000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141859237 + ... + 1142220996.

It is an arithmetic number, because the mean of its divisors is an integer number (7647100623432).

Almost surely, 2^{413144432545040} is an apocalyptic number.

413144432545040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413144432545040 is an abundant number, since it is smaller than the sum of its proper divisors (810391667204080).

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

413144432545040 is a wasteful number, since it uses less digits than its factorization.

413144432545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284080289 (or 2284080283 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 44.

Adding to 413144432545040 its reverse (40545234441314), we get a palindrome (453689666986354).

The spelling of 413144432545040 in words is "four hundred thirteen trillion, one hundred forty-four billion, four hundred thirty-two million, five hundred forty-five thousand, forty".