4080164309760 has 1152 divisors, whose sum is σ = 17292828672000. Its totient is φ = 793749749760.

The previous prime is 4080164309731. The next prime is 4080164309779. The reversal of 4080164309760 is 679034610804.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1000283401 + ... + 1000287479.

It is an arithmetic number, because the mean of its divisors is an integer number (15011136000).

Almost surely, 2^{4080164309760} is an apocalyptic number.

4080164309760 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 4080164309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646414336000).

4080164309760 is an abundant number, since it is smaller than the sum of its proper divisors (13212664362240).

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

4080164309760 is a wasteful number, since it uses less digits than its factorization.

4080164309760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 4080164309760 in words is "four trillion, eighty billion, one hundred sixty-four million, three hundred nine thousand, seven hundred sixty".