10444972032 has 448 divisors, whose sum is σ = 34821083520. Its totient is φ = 3105423360.

The previous prime is 10444972019. The next prime is 10444972121. The reversal of 10444972032 is 23027944401.

10444972032 is a `hidden beast` number, since 1 + 0 + 4 + 449 + 7 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197074918 + ... + 197074970.

Almost surely, 2^10444972032 is an apocalyptic number.

10444972032 is a gapful number since it is divisible by the number (12) 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 10444972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410541760).

10444972032 is an abundant number, since it is smaller than the sum of its proper divisors (24376111488).

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

10444972032 is an frugal number, since it uses more digits than its factorization.

10444972032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 1044497 and 2032, that added together give a square (1046529 = 1023²).

The spelling of 10444972032 in words is "ten billion, four hundred forty-four million, nine hundred seventy-two thousand, thirty-two".