10346444640 has 288 divisors, whose sum is σ = 41211555840. Its totient is φ = 2314478592.

The previous prime is 10346444639. The next prime is 10346444677. The reversal of 10346444640 is 4644464301.

10346444640 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 6 + 4 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 10346444595 and 10346444604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462841 + ... + 484679.

It is an arithmetic number, because the mean of its divisors is an integer number (143095680).

Almost surely, 2^10346444640 is an apocalyptic number.

10346444640 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 10346444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20605777920).

10346444640 is an abundant number, since it is smaller than the sum of its proper divisors (30865111200).

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

10346444640 is a wasteful number, since it uses less digits than its factorization.

10346444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21914 (or 21903 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 10346444640 in words is "ten billion, three hundred forty-six million, four hundred forty-four thousand, six hundred forty".