4169000021760 has 864 divisors, whose sum is σ = 17469704004480. Its totient is φ = 897594163200.

The previous prime is 4169000021743. The next prime is 4169000021761. The reversal of 4169000021760 is 671200009614.

It is a super-2 number, since 2×4169000021760² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4169000021761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95859220 + ... + 95902700.

It is an arithmetic number, because the mean of its divisors is an integer number (20219564820).

Almost surely, 2^{4169000021760} is an apocalyptic number.

4169000021760 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 4169000021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8734852002240).

4169000021760 is an abundant number, since it is smaller than the sum of its proper divisors (13300703982720).

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

4169000021760 is a wasteful number, since it uses less digits than its factorization.

4169000021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43585 (or 43568 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 4169000021760 in words is "four trillion, one hundred sixty-nine billion, twenty-one thousand, seven hundred sixty".