10442619089001 has 144 divisors (see below), whose sum is σ = 17765399590848. Its totient is φ = 6082225459200.

The previous prime is 10442619088969. The next prime is 10442619089033. The reversal of 10442619089001 is 10098091624401.

It is a happy number.

10442619089001 is a `hidden beast` number, since 10 + 442 + 6 + 190 + 8 + 9 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10442619088969) and next prime (10442619089033).

It is not a de Polignac number, because 10442619089001 - 2⁵ = 10442619088969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10442619089101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198227401 + ... + 198280073.

It is an arithmetic number, because the mean of its divisors is an integer number (123370830492).

Almost surely, 2^{10442619089001} is an apocalyptic number.

10442619089001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10442619089001 is a deficient number, since it is larger than the sum of its proper divisors (7322780501847).

10442619089001 is an frugal number, since it uses more digits than its factorization.

10442619089001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52816 (or 52795 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10442619089001 in words is "ten trillion, four hundred forty-two billion, six hundred nineteen million, eighty-nine thousand, one".