413001042012 has 432 divisors, whose sum is σ = 1250621648640. Its totient is φ = 114328101888.

The previous prime is 413001041987. The next prime is 413001042037. The reversal of 413001042012 is 210240100314.

It is an interprime number because it is at equal distance from previous prime (413001041987) and next prime (413001042037).

It is a super-3 number, since 3×413001042012³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 433368928 + ... + 433369880.

It is an arithmetic number, because the mean of its divisors is an integer number (2894957520).

Almost surely, 2^413001042012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413001042012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625310824320).

413001042012 is an abundant number, since it is smaller than the sum of its proper divisors (837620606628).

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

413001042012 is a wasteful number, since it uses less digits than its factorization.

413001042012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 413001042012 its reverse (210240100314), we get a palindrome (623241142326).

The spelling of 413001042012 in words is "four hundred thirteen billion, one million, forty-two thousand, twelve".