10009040167104 has 336 divisors, whose sum is σ = 29502874598400. Its totient is φ = 2992027484160.

The previous prime is 10009040167081. The next prime is 10009040167109. The reversal of 10009040167104 is 40176104090001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10009040167109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3466933149 + ... + 3466936035.

It is an arithmetic number, because the mean of its divisors is an integer number (87806174400).

Almost surely, 2^{10009040167104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10009040167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751437299200).

10009040167104 is an abundant number, since it is smaller than the sum of its proper divisors (19493834431296).

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

10009040167104 is a wasteful number, since it uses less digits than its factorization.

10009040167104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 10009040167104 in words is "ten trillion, nine billion, forty million, one hundred sixty-seven thousand, one hundred four".