10667413440 has 168 divisors, whose sum is σ = 36758471568. Its totient is φ = 2839449600.

The previous prime is 10667413433. The next prime is 10667413451. The reversal of 10667413440 is 4431476601.

It is a super-2 number, since 2×10667413440² (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 = 10667413395 and 10667413404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1727799 + ... + 1733961.

It is an arithmetic number, because the mean of its divisors is an integer number (218800426).

Almost surely, 2^10667413440 is an apocalyptic number.

10667413440 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 10667413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18379235784).

10667413440 is an abundant number, since it is smaller than the sum of its proper divisors (26091058128).

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

10667413440 is a wasteful number, since it uses less digits than its factorization.

10667413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6774 counting only the distinct ones).

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

The spelling of 10667413440 in words is "ten billion, six hundred sixty-seven million, four hundred thirteen thousand, four hundred forty".