10804430730240 has 1408 divisors, whose sum is σ = 46439715840000. Its totient is φ = 2327060938752.

The previous prime is 10804430730227. The next prime is 10804430730319. The reversal of 10804430730240 is 4203703440801.

10804430730240 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 4 + 4 + 307 + 302 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10804430730195 and 10804430730204.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3658796604 + ... + 3658799556.

Almost surely, 2^{10804430730240} is an apocalyptic number.

10804430730240 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 10804430730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23219857920000).

10804430730240 is an abundant number, since it is smaller than the sum of its proper divisors (35635285109760).

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

10804430730240 is a wasteful number, since it uses less digits than its factorization.

10804430730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 10804430730240 in words is "ten trillion, eight hundred four billion, four hundred thirty million, seven hundred thirty thousand, two hundred forty".