4016515014144 has 120 divisors (see below), whose sum is σ = 11596439252112. Its totient is φ = 1338318028800.

The previous prime is 4016515014119. The next prime is 4016515014181. The reversal of 4016515014144 is 4414105156104.

4016515014144 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 5 + 1 + 501 + 4 + 144 = 666.

4016515014144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4016515014144² (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 = 4016515014099 and 4016515014108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11780469 + ... + 12116619.

Almost surely, 2^{4016515014144} 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 4016515014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5798219626056).

4016515014144 is an abundant number, since it is smaller than the sum of its proper divisors (7579924237968).

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

4016515014144 is a wasteful number, since it uses less digits than its factorization.

4016515014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338768 (or 338749 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 4016515014144 in words is "four trillion, sixteen billion, five hundred fifteen million, fourteen thousand, one hundred forty-four".