416160954144 has 384 divisors, whose sum is σ = 1372512798720. Its totient is φ = 121718412288.

The previous prime is 416160954127. The next prime is 416160954149. The reversal of 416160954144 is 441459061614.

416160954144 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 60 + 9 + 541 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 416160954144.

It is not an unprimeable number, because it can be changed into a prime (416160954149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42103827 + ... + 42113709.

It is an arithmetic number, because the mean of its divisors is an integer number (3574252080).

Almost surely, 2^416160954144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416160954144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686256399360).

416160954144 is an abundant number, since it is smaller than the sum of its proper divisors (956351844576).

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

416160954144 is a wasteful number, since it uses less digits than its factorization.

416160954144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10101 (or 10087 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 416160954144 in words is "four hundred sixteen billion, one hundred sixty million, nine hundred fifty-four thousand, one hundred forty-four".