413524103040 has 192 divisors, whose sum is σ = 1480838027760. Its totient is φ = 110273052672.

The previous prime is 413524103017. The next prime is 413524103059. The reversal of 413524103040 is 40301425314.

It is a happy number.

413524103040 is a `hidden beast` number, since 4 + 1 + 352 + 4 + 1 + 0 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 413524102995 and 413524103013.

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 23 ways as a sum of consecutive naturals, for example, 1173969 + ... + 1485008.

Almost surely, 2^413524103040 is an apocalyptic number.

413524103040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413524103040 is an abundant number, since it is smaller than the sum of its proper divisors (1067313924720).

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

413524103040 is an equidigital number, since it uses as much as digits as its factorization.

413524103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659011 (or 2658987 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 413524103040 its reverse (40301425314), we get a palindrome (453825528354).

The spelling of 413524103040 in words is "four hundred thirteen billion, five hundred twenty-four million, one hundred three thousand, forty".