414212003324152 has 128 divisors (see below), whose sum is σ = 866519162795520. Its totient is φ = 184035354048000.

The previous prime is 414212003324129. The next prime is 414212003324167. The reversal of 414212003324152 is 251423300212414.

It is a congruent number.

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, 10351915698 + ... + 10351955710.

It is an arithmetic number, because the mean of its divisors is an integer number (6769680959340).

Almost surely, 2^{414212003324152} 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 414212003324152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433259581397760).

414212003324152 is an abundant number, since it is smaller than the sum of its proper divisors (452307159471368).

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

414212003324152 is a wasteful number, since it uses less digits than its factorization.

414212003324152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52085 (or 52081 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 414212003324152 its reverse (251423300212414), we get a palindrome (665635303536566).

It can be divided in two parts, 41421200332 and 4152, that added together give a square (41421204484 = 203522²).

The spelling of 414212003324152 in words is "four hundred fourteen trillion, two hundred twelve billion, three million, three hundred twenty-four thousand, one hundred fifty-two".