10667417040 has 640 divisors, whose sum is σ = 45459947520. Its totient is φ = 2243469312.

The previous prime is 10667417039. The next prime is 10667417071. The reversal of 10667417040 is 4071476601.

It is a super-2 number, since 2×10667417040² (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 = 10667416986 and 10667417004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12080439 + ... + 12081321.

It is an arithmetic number, because the mean of its divisors is an integer number (71031168).

Almost surely, 2^10667417040 is an apocalyptic number.

10667417040 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 10667417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22729973760).

10667417040 is an abundant number, since it is smaller than the sum of its proper divisors (34792530480).

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

10667417040 is a wasteful number, since it uses less digits than its factorization.

10667417040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10667417040 in words is "ten billion, six hundred sixty-seven million, four hundred seventeen thousand, forty".