10667430144 has 324 divisors, whose sum is σ = 36388361100. Its totient is φ = 2995937280.

The previous prime is 10667430139. The next prime is 10667430217. The reversal of 10667430144 is 44103476601.

It can be written as a sum of positive squares in 2 ways, for example, as 1625702400 + 9041727744 = 40320^2 + 95088^2 .

It is a super-2 number, since 2×10667430144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10667430099 and 10667430108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6885882 + ... + 6887430.

Almost surely, 2^10667430144 is an apocalyptic number.

10667430144 is a gapful number since it is divisible by the number (14) 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 10667430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18194180550).

10667430144 is an abundant number, since it is smaller than the sum of its proper divisors (25720930956).

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

10667430144 is a wasteful number, since it uses less digits than its factorization.

10667430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10667430144 in words is "ten billion, six hundred sixty-seven million, four hundred thirty thousand, one hundred forty-four".