413031413000 has 64 divisors (see below), whose sum is σ = 969017886720. Its totient is φ = 164781048000.

The previous prime is 413031412991. The next prime is 413031413059. The reversal of 413031413000 is 314130314.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156206 + ... + 922205.

It is an arithmetic number, because the mean of its divisors is an integer number (15140904480).

Almost surely, 2^413031413000 is an apocalyptic number.

413031413000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413031413000 is an abundant number, since it is smaller than the sum of its proper divisors (555986473720).

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

413031413000 is a wasteful number, since it uses less digits than its factorization.

413031413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078815 (or 1078801 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 413031413000 its reverse (314130314), we get a palindrome (413345543314).

The spelling of 413031413000 in words is "four hundred thirteen billion, thirty-one million, four hundred thirteen thousand".