412040013 has 16 divisors (see below), whose sum is σ = 684950016. Its totient is φ = 214046640.

The previous prime is 412039973. The next prime is 412040093. The reversal of 412040013 is 310040214.

It is not a de Polignac number, because 412040013 - 2⁶ = 412039949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 412039974 and 412040001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412040093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891631 + ... + 892092.

It is an arithmetic number, because the mean of its divisors is an integer number (42809376).

Almost surely, 2^412040013 is an apocalyptic number.

It is an amenable number.

412040013 is a deficient number, since it is larger than the sum of its proper divisors (272910003).

412040013 is a wasteful number, since it uses less digits than its factorization.

412040013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783744.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 412040013 is about 20298.7687557645. The cubic root of 412040013 is about 744.1259740874.

Adding to 412040013 its reverse (310040214), we get a palindrome (722080227).

The spelling of 412040013 in words is "four hundred twelve million, forty thousand, thirteen".