10604809440 has 384 divisors, whose sum is σ = 39553557120. Its totient is φ = 2644475904.

The previous prime is 10604809399. The next prime is 10604809459. The reversal of 10604809440 is 4490840601.

It is a happy number.

10604809440 is a `hidden beast` number, since 1 + 0 + 604 + 8 + 0 + 9 + 4 + 40 = 666.

It is a super-2 number, since 2×10604809440² (a number of 21 digits) contains 22 as substring.

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 = 10604809395 and 10604809404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14467314 + ... + 14468046.

It is an arithmetic number, because the mean of its divisors is an integer number (103004055).

Almost surely, 2^10604809440 is an apocalyptic number.

10604809440 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 10604809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19776778560).

10604809440 is an abundant number, since it is smaller than the sum of its proper divisors (28948747680).

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

10604809440 is a wasteful number, since it uses less digits than its factorization.

10604809440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10604809440 in words is "ten billion, six hundred four million, eight hundred nine thousand, four hundred forty".