4016114123328 has 672 divisors, whose sum is σ = 12748206062592. Its totient is φ = 1205076787200.

The previous prime is 4016114123327. The next prime is 4016114123341. The reversal of 4016114123328 is 8233214116104.

4016114123328 is a `hidden beast` number, since 4 + 0 + 1 + 611 + 4 + 1 + 2 + 3 + 32 + 8 = 666.

It is a super-2 number, since 2×4016114123328² (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 = 4016114123292 and 4016114123301.

It is not an unprimeable number, because it can be changed into a prime (4016114123321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1756061001 + ... + 1756063287.

It is an arithmetic number, because the mean of its divisors is an integer number (18970544736).

Almost surely, 2^{4016114123328} is an apocalyptic number.

4016114123328 is a gapful number since it is divisible by the number (48) 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 4016114123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374103031296).

4016114123328 is an abundant number, since it is smaller than the sum of its proper divisors (8732091939264).

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

4016114123328 is a wasteful number, since it uses less digits than its factorization.

4016114123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 4016114123328 in words is "four trillion, sixteen billion, one hundred fourteen million, one hundred twenty-three thousand, three hundred twenty-eight".