4114162450944 has 800 divisors, whose sum is σ = 15142483319040. Its totient is φ = 1082972602368.

The previous prime is 4114162450939. The next prime is 4114162450949. The reversal of 4114162450944 is 4490542614114.

4114162450944 is a `hidden beast` number, since 4 + 1 + 1 + 41 + 62 + 4 + 509 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (4114162450939) and next prime (4114162450949).

It is a super-3 number, since 3×4114162450944³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4114162450944.

It is not an unprimeable number, because it can be changed into a prime (4114162450949) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3709794262 + ... + 3709795370.

Almost surely, 2^{4114162450944} 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 4114162450944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571241659520).

4114162450944 is an abundant number, since it is smaller than the sum of its proper divisors (11028320868096).

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

4114162450944 is a wasteful number, since it uses less digits than its factorization.

4114162450944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4114162450944 in words is "four trillion, one hundred fourteen billion, one hundred sixty-two million, four hundred fifty thousand, nine hundred forty-four".