10444874640 has 320 divisors, whose sum is σ = 34689779712. Its totient is φ = 2595225600.

The previous prime is 10444874611. The next prime is 10444874653. The reversal of 10444874640 is 4647844401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10444874592 and 10444874601.

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, 29588704 + ... + 29589056.

Almost surely, 2^10444874640 is an apocalyptic number.

10444874640 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 10444874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17344889856).

10444874640 is an abundant number, since it is smaller than the sum of its proper divisors (24244905072).

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

10444874640 is a wasteful number, since it uses less digits than its factorization.

10444874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 10444874640 in words is "ten billion, four hundred forty-four million, eight hundred seventy-four thousand, six hundred forty".