10404470407680 has 1280 divisors, whose sum is σ = 39853152092160. Its totient is φ = 2563667656704.

The previous prime is 10404470407627. The next prime is 10404470407687. The reversal of 10404470407680 is 8670407440401.

It is a happy number.

10404470407680 is a `hidden beast` number, since 104 + 0 + 4 + 470 + 4 + 0 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10404470407687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16862998732 + ... + 16862999348.

It is an arithmetic number, because the mean of its divisors is an integer number (31135275072).

Almost surely, 2^{10404470407680} is an apocalyptic number.

10404470407680 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 10404470407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926576046080).

10404470407680 is an abundant number, since it is smaller than the sum of its proper divisors (29448681684480).

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

10404470407680 is a wasteful number, since it uses less digits than its factorization.

10404470407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 10404470407680 in words is "ten trillion, four hundred four billion, four hundred seventy million, four hundred seven thousand, six hundred eighty".