1416161002256 has 720 divisors, whose sum is σ = 4131380574720. Its totient is φ = 463673548800.

The previous prime is 1416161002237. The next prime is 1416161002303. The reversal of 1416161002256 is 6522001616141.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 649912175 + ... + 649914353.

It is an arithmetic number, because the mean of its divisors is an integer number (5738028576).

Almost surely, 2^{1416161002256} is an apocalyptic number.

1416161002256 is a gapful number since it is divisible by the number (16) 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 1416161002256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065690287360).

1416161002256 is an abundant number, since it is smaller than the sum of its proper divisors (2715219572464).

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

1416161002256 is a wasteful number, since it uses less digits than its factorization.

1416161002256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 1416161002256 its reverse (6522001616141), we get a palindrome (7938162618397).

The spelling of 1416161002256 in words is "one trillion, four hundred sixteen billion, one hundred sixty-one million, two thousand, two hundred fifty-six".