413213454540 has 96 divisors (see below), whose sum is σ = 1316907990720. Its totient is φ = 107502681600.

The previous prime is 413213454473. The next prime is 413213454541. The reversal of 413213454540 is 45454312314.

413213454540 is a `hidden beast` number, since 4 + 1 + 32 + 1 + 34 + 54 + 540 = 666.

It is a super-2 number, since 2×413213454540² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 413213454495 and 413213454504.

It is not an unprimeable number, because it can be changed into a prime (413213454541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9309691 + ... + 9353970.

It is an arithmetic number, because the mean of its divisors is an integer number (13717791570).

Almost surely, 2^413213454540 is an apocalyptic number.

It is an amenable number.

413213454540 is an abundant number, since it is smaller than the sum of its proper divisors (903694536180).

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

413213454540 is a wasteful number, since it uses less digits than its factorization.

413213454540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18663720 (or 18663712 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 413213454540 its reverse (45454312314), we get a palindrome (458667766854).

The spelling of 413213454540 in words is "four hundred thirteen billion, two hundred thirteen million, four hundred fifty-four thousand, five hundred forty".