10444496400 has 600 divisors, whose sum is σ = 40887190344. Its totient is φ = 2538086400.

The previous prime is 10444496399. The next prime is 10444496453. The reversal of 10444496400 is 469444401.

10444496400 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 4 + 4 + 9 + 640 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7640158464 + 2804337936 = 87408^2 + 52956^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×10444496400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57704310 + ... + 57704490.

Almost surely, 2^10444496400 is an apocalyptic number.

10444496400 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 10444496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20443595172).

10444496400 is an abundant number, since it is smaller than the sum of its proper divisors (30442693944).

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

10444496400 is a wasteful number, since it uses less digits than its factorization.

10444496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10444496400 in words is "ten billion, four hundred forty-four million, four hundred ninety-six thousand, four hundred".