10404807827460 has 192 divisors, whose sum is σ = 31049541250560. Its totient is φ = 2597530890240.

The previous prime is 10404807827371. The next prime is 10404807827467. The reversal of 10404807827460 is 6472870840401.

10404807827460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10404807827467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29740350 + ... + 30088170.

It is an arithmetic number, because the mean of its divisors is an integer number (161716360680).

Almost surely, 2^{10404807827460} is an apocalyptic number.

10404807827460 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 10404807827460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524770625280).

10404807827460 is an abundant number, since it is smaller than the sum of its proper divisors (20644733423100).

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

10404807827460 is a wasteful number, since it uses less digits than its factorization.

10404807827460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348318 (or 348316 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 10404807827460 in words is "ten trillion, four hundred four billion, eight hundred seven million, eight hundred twenty-seven thousand, four hundred sixty".