4016216322144 has 192 divisors, whose sum is σ = 12617911615680. Its totient is φ = 1235477422080.

The previous prime is 4016216322119. The next prime is 4016216322187. The reversal of 4016216322144 is 4412236126104.

4016216322144 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 2 + 1 + 632 + 2 + 14 + 4 = 666.

It is a super-2 number, since 2×4016216322144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4016216322099 and 4016216322108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52269034 + ... + 52345814.

It is an arithmetic number, because the mean of its divisors is an integer number (65718289665).

Almost surely, 2^{4016216322144} 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 4016216322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308955807840).

4016216322144 is an abundant number, since it is smaller than the sum of its proper divisors (8601695293536).

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

4016216322144 is a wasteful number, since it uses less digits than its factorization.

4016216322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81470 (or 81456 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4016216322144 in words is "four trillion, sixteen billion, two hundred sixteen million, three hundred twenty-two thousand, one hundred forty-four".