4041517658112 has 624 divisors, whose sum is σ = 13219147180512. Its totient is φ = 1178893025280.

The previous prime is 4041517658099. The next prime is 4041517658153. The reversal of 4041517658112 is 2118567151404.

It is a happy number.

4041517658112 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 51 + 7 + 6 + 581 + 12 = 666.

It is a super-2 number, since 2×4041517658112² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1455352468 + ... + 1455355244.

It is an arithmetic number, because the mean of its divisors is an integer number (21184530738).

Almost surely, 2^{4041517658112} 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 4041517658112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609573590256).

4041517658112 is an abundant number, since it is smaller than the sum of its proper divisors (9177629522400).

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

4041517658112 is a wasteful number, since it uses less digits than its factorization.

4041517658112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 4041517658112 in words is "four trillion, forty-one billion, five hundred seventeen million, six hundred fifty-eight thousand, one hundred twelve".