2414131220000 has 60 divisors (see below), whose sum is σ = 5939124970086. Its totient is φ = 965652480000.

The previous prime is 2414131219949. The next prime is 2414131220063. The reversal of 2414131220000 is 221314142.

It can be written as a sum of positive squares in 5 ways, for example, as 304072839184 + 2110058380816 = 551428^2 + 1452604^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 60333281 + ... + 60373280.

Almost surely, 2^{2414131220000} is an apocalyptic number.

2414131220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414131220000 is an abundant number, since it is smaller than the sum of its proper divisors (3524993750086).

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

2414131220000 is an equidigital number, since it uses as much as digits as its factorization.

2414131220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120706591 (or 120706568 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2414131220000 its reverse (221314142), we get a palindrome (2414352534142).

The spelling of 2414131220000 in words is "two trillion, four hundred fourteen billion, one hundred thirty-one million, two hundred twenty thousand".