413021201043040 has 48 divisors (see below), whose sum is σ = 975842161747488. Its totient is φ = 165195007522816.

The previous prime is 413021201043019. The next prime is 413021201043089. The reversal of 413021201043040 is 40340102120314.

It is a super-2 number, since 2×413021201043040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413021201042996 and 413021201043014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103288777 + ... + 107212936.

It is an arithmetic number, because the mean of its divisors is an integer number (20330045036406).

Almost surely, 2^{413021201043040} is an apocalyptic number.

413021201043040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413021201043040 is an abundant number, since it is smaller than the sum of its proper divisors (562820960704448).

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

413021201043040 is a wasteful number, since it uses less digits than its factorization.

413021201043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210513991 (or 210513983 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 413021201043040 its reverse (40340102120314), we get a palindrome (453361303163354).

The spelling of 413021201043040 in words is "four hundred thirteen trillion, twenty-one billion, two hundred one million, forty-three thousand, forty".