1414313442120 has 256 divisors, whose sum is σ = 4538198016000. Its totient is φ = 351362727936.

The previous prime is 1414313442097. The next prime is 1414313442149. The reversal of 1414313442120 is 212443134141.

It is a happy number.

It is a super-2 number, since 2×1414313442120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 284395954 + ... + 284400926.

It is an arithmetic number, because the mean of its divisors is an integer number (17727336000).

Almost surely, 2^{1414313442120} is an apocalyptic number.

1414313442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414313442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269099008000).

1414313442120 is an abundant number, since it is smaller than the sum of its proper divisors (3123884573880).

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

1414313442120 is a wasteful number, since it uses less digits than its factorization.

1414313442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1414313442120 its reverse (212443134141), we get a palindrome (1626756576261).

The spelling of 1414313442120 in words is "one trillion, four hundred fourteen billion, three hundred thirteen million, four hundred forty-two thousand, one hundred twenty".