413212214040 has 64 divisors (see below), whose sum is σ = 1251910308960. Its totient is φ = 109098931200.

The previous prime is 413212214033. The next prime is 413212214047. The reversal of 413212214040 is 40412212314.

It is an interprime number because it is at equal distance from previous prime (413212214033) and next prime (413212214047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 413212214040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413212214047) 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, 17034589 + ... + 17058828.

Almost surely, 2^413212214040 is an apocalyptic number.

413212214040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413212214040 is an abundant number, since it is smaller than the sum of its proper divisors (838698094920).

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

413212214040 is a wasteful number, since it uses less digits than its factorization.

413212214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34093532 (or 34093528 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 413212214040 its reverse (40412212314), we get a palindrome (453624426354).

The spelling of 413212214040 in words is "four hundred thirteen billion, two hundred twelve million, two hundred fourteen thousand, forty".