414044215142500 has 240 divisors, whose sum is σ = 953334756025344. Its totient is φ = 156991372560000.

The previous prime is 414044215142471. The next prime is 414044215142521. The reversal of 414044215142500 is 5241512440414.

It is a super-2 number, since 2×414044215142500² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414044215142500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3178362367 + ... + 3178492633.

Almost surely, 2^{414044215142500} 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 414044215142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476667378012672).

414044215142500 is an abundant number, since it is smaller than the sum of its proper divisors (539290540882844).

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

414044215142500 is a wasteful number, since it uses less digits than its factorization.

414044215142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130812 (or 130795 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 37.

Adding to 414044215142500 its reverse (5241512440414), we get a palindrome (419285727582914).

The spelling of 414044215142500 in words is "four hundred fourteen trillion, forty-four billion, two hundred fifteen million, one hundred forty-two thousand, five hundred".