10204669440 has 960 divisors, whose sum is σ = 44335019520. Its totient is φ = 2214051840.

The previous prime is 10204669421. The next prime is 10204669451. The reversal of 10204669440 is 4496640201.

10204669440 is a `hidden beast` number, since 1 + 0 + 204 + 6 + 6 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 10204669395 and 10204669404.

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 95 ways as a sum of consecutive naturals, for example, 77898175 + ... + 77898305.

It is an arithmetic number, because the mean of its divisors is an integer number (46182312).

Almost surely, 2^10204669440 is an apocalyptic number.

10204669440 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 10204669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22167509760).

10204669440 is an abundant number, since it is smaller than the sum of its proper divisors (34130350080).

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

10204669440 is a wasteful number, since it uses less digits than its factorization.

10204669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10204669440 in words is "ten billion, two hundred four million, six hundred sixty-nine thousand, four hundred forty".