12167041440 has 192 divisors, whose sum is σ = 40707080064. Its totient is φ = 3044179968.

The previous prime is 12167041433. The next prime is 12167041477. The reversal of 12167041440 is 4414076121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12167041398 and 12167041407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2829372 + ... + 2833668.

It is an arithmetic number, because the mean of its divisors is an integer number (212016042).

Almost surely, 2^12167041440 is an apocalyptic number.

12167041440 is a gapful number since it is divisible by the number (10) 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 12167041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20353540032).

12167041440 is an abundant number, since it is smaller than the sum of its proper divisors (28540038624).

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

12167041440 is a wasteful number, since it uses less digits than its factorization.

12167041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 12167041440 in words is "twelve billion, one hundred sixty-seven million, forty-one thousand, four hundred forty".