10404807827370 has 128 divisors (see below), whose sum is σ = 27415125319680. Its totient is φ = 2506339680000.

The previous prime is 10404807827353. The next prime is 10404807827371. The reversal of 10404807827370 is 7372870840401.

It is a super-2 number, since 2×10404807827370² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10404807827371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76782375 + ... + 76917765.

It is an arithmetic number, because the mean of its divisors is an integer number (214180666560).

Almost surely, 2^{10404807827370} is an apocalyptic number.

10404807827370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404807827370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13707562659840).

10404807827370 is an abundant number, since it is smaller than the sum of its proper divisors (17010317492310).

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

10404807827370 is a wasteful number, since it uses less digits than its factorization.

10404807827370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136892.

The product of its (nonzero) digits is 2107392, while the sum is 51.

The spelling of 10404807827370 in words is "ten trillion, four hundred four billion, eight hundred seven million, eight hundred twenty-seven thousand, three hundred seventy".