10302675444 has 180 divisors, whose sum is σ = 30121759360. Its totient is φ = 3061566720.

The previous prime is 10302675379. The next prime is 10302675457. The reversal of 10302675444 is 44457620301.

10302675444 is a `hidden beast` number, since 103 + 0 + 2 + 6 + 7 + 544 + 4 = 666.

10302675444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10302675444² (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 a junction number, because it is equal to n+sod(n) for n = 10302675399 and 10302675408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1776189 + ... + 1781979.

Almost surely, 2^10302675444 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 10302675444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060879680).

10302675444 is an abundant number, since it is smaller than the sum of its proper divisors (19819083916).

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

10302675444 is a wasteful number, since it uses less digits than its factorization.

10302675444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10302675444 in words is "ten billion, three hundred two million, six hundred seventy-five thousand, four hundred forty-four".