413021050040 has 32 divisors (see below), whose sum is σ = 929355245280. Its totient is φ = 165198129792.

The previous prime is 413021049989. The next prime is 413021050063. The reversal of 413021050040 is 40050120314.

It is a super-2 number, since 2×413021050040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 413021049994 and 413021050021.

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 7 ways as a sum of consecutive naturals, for example, 345749 + ... + 972411.

It is an arithmetic number, because the mean of its divisors is an integer number (29042351415).

Almost surely, 2^413021050040 is an apocalyptic number.

413021050040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413021050040 is an abundant number, since it is smaller than the sum of its proper divisors (516334195240).

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

413021050040 is a wasteful number, since it uses less digits than its factorization.

413021050040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643151 (or 643147 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 413021050040 its reverse (40050120314), we get a palindrome (453071170354).

The spelling of 413021050040 in words is "four hundred thirteen billion, twenty-one million, fifty thousand, forty".