2414425321242 has 128 divisors (see below), whose sum is σ = 6055091159040. Its totient is φ = 706504248000.

The previous prime is 2414425321223. The next prime is 2414425321261. The reversal of 2414425321242 is 2421235244142.

2414425321242 is a `hidden beast` number, since 2 + 4 + 14 + 425 + 3 + 212 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2414425321223) and next prime (2414425321261).

It is a super-3 number, since 3×2414425321242³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2414425321197 and 2414425321206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8346643 + ... + 8631065.

It is an arithmetic number, because the mean of its divisors is an integer number (47305399680).

Almost surely, 2^{2414425321242} is an apocalyptic number.

2414425321242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414425321242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027545579520).

2414425321242 is an abundant number, since it is smaller than the sum of its proper divisors (3640665837798).

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

2414425321242 is a wasteful number, since it uses less digits than its factorization.

2414425321242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284937 (or 284931 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The spelling of 2414425321242 in words is "two trillion, four hundred fourteen billion, four hundred twenty-five million, three hundred twenty-one thousand, two hundred forty-two".