413011010040 has 64 divisors (see below), whose sum is σ = 1239661735200. Its totient is φ = 110080384512.

The previous prime is 413011009969. The next prime is 413011010057. The reversal of 413011010040 is 40010110314.

413011010040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 635455 + ... + 1108974.

Almost surely, 2^413011010040 is an apocalyptic number.

413011010040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413011010040 is an abundant number, since it is smaller than the sum of its proper divisors (826650725160).

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

413011010040 is a wasteful number, since it uses less digits than its factorization.

413011010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746416 (or 1746412 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 413011010040 its reverse (40010110314), we get a palindrome (453021120354).

The spelling of 413011010040 in words is "four hundred thirteen billion, eleven million, ten thousand, forty".