10006307101440 has 432 divisors, whose sum is σ = 38450046932640. Its totient is φ = 2463089541120.

The previous prime is 10006307101433. The next prime is 10006307101463. The reversal of 10006307101440 is 4410170360001.

It is a happy number.

10006307101440 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 630 + 7 + 10 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4984030 + ... + 6697250.

It is an arithmetic number, because the mean of its divisors is an integer number (89004738270).

Almost surely, 2^{10006307101440} is an apocalyptic number.

10006307101440 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 10006307101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19225023466320).

10006307101440 is an abundant number, since it is smaller than the sum of its proper divisors (28443739831200).

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

10006307101440 is a wasteful number, since it uses less digits than its factorization.

10006307101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713277 (or 1713244 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10006307101440 its reverse (4410170360001), we get a palindrome (14416477461441).

The spelling of 10006307101440 in words is "ten trillion, six billion, three hundred seven million, one hundred one thousand, four hundred forty".