10409904673920 has 2048 divisors, whose sum is σ = 43439348736000. Its totient is φ = 2336637321216.

The previous prime is 10409904673891. The next prime is 10409904673933. The reversal of 10409904673920 is 2937640990401.

10409904673920 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 9 + 90 + 467 + 3 + 92 + 0 = 666.

It is a super-2 number, since 2×10409904673920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10654968472 + ... + 10654969448.

It is an arithmetic number, because the mean of its divisors is an integer number (21210619500).

Almost surely, 2^{10409904673920} is an apocalyptic number.

10409904673920 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 10409904673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719674368000).

10409904673920 is an abundant number, since it is smaller than the sum of its proper divisors (33029444062080).

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

10409904673920 is a wasteful number, since it uses less digits than its factorization.

10409904673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 10409904673920 in words is "ten trillion, four hundred nine billion, nine hundred four million, six hundred seventy-three thousand, nine hundred twenty".