10144432776 has 64 divisors (see below), whose sum is σ = 25864686720. Its totient is φ = 3314455040.

The previous prime is 10144432703. The next prime is 10144432787. The reversal of 10144432776 is 67723444101.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552396 + ... + 1558916.

It is an arithmetic number, because the mean of its divisors is an integer number (404135730).

Almost surely, 2^10144432776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144432776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12932343360).

10144432776 is an abundant number, since it is smaller than the sum of its proper divisors (15720253944).

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

10144432776 is a wasteful number, since it uses less digits than its factorization.

10144432776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7806 (or 7802 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

Adding to 10144432776 its reverse (67723444101), we get a palindrome (77867876877).

The spelling of 10144432776 in words is "ten billion, one hundred forty-four million, four hundred thirty-two thousand, seven hundred seventy-six".