4165012440000 has 840 divisors, whose sum is σ = 15813986466960. Its totient is φ = 1074574080000.

The previous prime is 4165012439927. The next prime is 4165012440011. The reversal of 4165012440000 is 442105614.

4165012440000 is a `hidden beast` number, since 4 + 1 + 650 + 1 + 2 + 4 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1037877994 + ... + 1037882006.

Almost surely, 2^{4165012440000} is an apocalyptic number.

4165012440000 is a gapful number since it is divisible by the number (40) 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 4165012440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906993233480).

4165012440000 is an abundant number, since it is smaller than the sum of its proper divisors (11648974026960).

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

4165012440000 is an equidigital number, since it uses as much as digits as its factorization.

4165012440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4165012440000 its reverse (442105614), we get a palindrome (4165454545614).

The spelling of 4165012440000 in words is "four trillion, one hundred sixty-five billion, twelve million, four hundred forty thousand".