413004515040 has 192 divisors, whose sum is σ = 1556709537600. Its totient is φ = 101662636032.

The previous prime is 413004515017. The next prime is 413004515153. The reversal of 413004515040 is 40515400314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 413004514995 and 413004515013.

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 31 ways as a sum of consecutive naturals, for example, 3620875 + ... + 3733194.

It is an arithmetic number, because the mean of its divisors is an integer number (8107862175).

Almost surely, 2^413004515040 is an apocalyptic number.

413004515040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413004515040 is an abundant number, since it is smaller than the sum of its proper divisors (1143705022560).

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

413004515040 is a wasteful number, since it uses less digits than its factorization.

413004515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7354106 (or 7354092 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 413004515040 its reverse (40515400314), we get a palindrome (453519915354).

The spelling of 413004515040 in words is "four hundred thirteen billion, four million, five hundred fifteen thousand, forty".