412414401040 has 20 divisors (see below), whose sum is σ = 958863482604. Its totient is φ = 164965760384.

The previous prime is 412414401037. The next prime is 412414401041. The reversal of 412414401040 is 40104414214.

It can be written as a sum of positive squares in 2 ways, for example, as 176642002944 + 235772398096 = 420288^2 + 485564^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 412414400996 and 412414401014.

It is not an unprimeable number, because it can be changed into a prime (412414401041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2577589927 + ... + 2577590086.

Almost surely, 2^412414401040 is an apocalyptic number.

412414401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412414401040 is an abundant number, since it is smaller than the sum of its proper divisors (546449081564).

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

412414401040 is a wasteful number, since it uses less digits than its factorization.

412414401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155180026 (or 5155180020 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 412414401040 its reverse (40104414214), we get a palindrome (452518815254).

The spelling of 412414401040 in words is "four hundred twelve billion, four hundred fourteen million, four hundred one thousand, forty".