414156450416 has 80 divisors (see below), whose sum is σ = 856146703104. Its totient is φ = 193669588992.

The previous prime is 414156450413. The next prime is 414156450443. The reversal of 414156450416 is 614054651414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414156450413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2892875 + ... + 3032661.

Almost surely, 2^414156450416 is an apocalyptic number.

414156450416 is a gapful number since it is divisible by the number (46) 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 414156450416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428073351552).

414156450416 is an abundant number, since it is smaller than the sum of its proper divisors (441990252688).

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

414156450416 is a wasteful number, since it uses less digits than its factorization.

414156450416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139998 (or 139992 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 414156450416 in words is "four hundred fourteen billion, one hundred fifty-six million, four hundred fifty thousand, four hundred sixteen".