10649494440 has 336 divisors, whose sum is σ = 38919697020. Its totient is φ = 2620200960.

The previous prime is 10649494417. The next prime is 10649494459. The reversal of 10649494440 is 4449494601.

It can be written as a sum of positive squares in 6 ways, for example, as 1524277764 + 9125216676 = 39042^2 + 95526^2 .

It is a super-3 number, since 3×10649494440³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4926960 + ... + 4929120.

Almost surely, 2^10649494440 is an apocalyptic number.

10649494440 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 10649494440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459848510).

10649494440 is an abundant number, since it is smaller than the sum of its proper divisors (28270202580).

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

10649494440 is a wasteful number, since it uses less digits than its factorization.

10649494440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10649494440 in words is "ten billion, six hundred forty-nine million, four hundred ninety-four thousand, four hundred forty".