4165046645760 has 3520 divisors, whose sum is σ = 20452843192320. Its totient is φ = 782566686720.

The previous prime is 4165046645759. The next prime is 4165046645761. The reversal of 4165046645760 is 675466405614.

4165046645760 is a `hidden beast` number, since 4 + 1 + 6 + 5 + 0 + 4 + 6 + 64 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4165046645759) and next prime (4165046645761).

It is a tau number, because it is divible by the number of its divisors (3520).

It is a super-2 number, since 2×4165046645760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4165046645697 and 4165046645706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165046645761) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 32795642817 + ... + 32795642943.

It is an arithmetic number, because the mean of its divisors is an integer number (5810466816).

Almost surely, 2^{4165046645760} is an apocalyptic number.

4165046645760 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 4165046645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10226421596160).

4165046645760 is an abundant number, since it is smaller than the sum of its proper divisors (16287796546560).

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

4165046645760 is a wasteful number, since it uses less digits than its factorization.

4165046645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 4165046645760 in words is "four trillion, one hundred sixty-five billion, forty-six million, six hundred forty-five thousand, seven hundred sixty".