4001379165280 has 48 divisors (see below), whose sum is σ = 10803723749280. Its totient is φ = 1371901427712.

The previous prime is 4001379165269. The next prime is 4001379165313. The reversal of 4001379165280 is 825619731004.

It is a super-2 number, since 2×4001379165280² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4001379165280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786328865 + ... + 1786331104.

It is an arithmetic number, because the mean of its divisors is an integer number (225077578110).

It is a 1-persistent number, because it is pandigital, but 2⋅4001379165280 = 8002758330560 is not.

Almost surely, 2^{4001379165280} is an apocalyptic number.

4001379165280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001379165280 is an abundant number, since it is smaller than the sum of its proper divisors (6802344584000).

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

4001379165280 is a wasteful number, since it uses less digits than its factorization.

4001379165280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572659991 (or 3572659983 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 4001379165280 in words is "four trillion, one billion, three hundred seventy-nine million, one hundred sixty-five thousand, two hundred eighty".