413505440040 has 128 divisors (see below), whose sum is σ = 1546617784320. Its totient is φ = 85923206400.

The previous prime is 413505439957. The next prime is 413505440077. The reversal of 413505440040 is 40044505314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22366596 + ... + 22385075.

It is an arithmetic number, because the mean of its divisors is an integer number (12082951440).

Almost surely, 2^413505440040 is an apocalyptic number.

413505440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413505440040 is an abundant number, since it is smaller than the sum of its proper divisors (1133112344280).

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

413505440040 is a wasteful number, since it uses less digits than its factorization.

413505440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44751703 (or 44751699 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 413505440040 its reverse (40044505314), we get a palindrome (453549945354).

The spelling of 413505440040 in words is "four hundred thirteen billion, five hundred five million, four hundred forty thousand, forty".