10302444321440 has 192 divisors, whose sum is σ = 25165604239776. Its totient is φ = 3982656356352.

The previous prime is 10302444321419. The next prime is 10302444321443. The reversal of 10302444321440 is 4412344420301.

It can be written as a sum of positive squares in 16 ways, for example, as 1202979014416 + 9099465307024 = 1096804^2 + 3016532^2 .

It is a super-2 number, since 2×10302444321440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10302444321397 and 10302444321406.

It is not an unprimeable number, because it can be changed into a prime (10302444321443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242301934 + ... + 1242310226.

Almost surely, 2^{10302444321440} is an apocalyptic number.

10302444321440 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 10302444321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582802119888).

10302444321440 is an abundant number, since it is smaller than the sum of its proper divisors (14863159918336).

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

10302444321440 is a wasteful number, since it uses less digits than its factorization.

10302444321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9731 (or 9723 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10302444321440 its reverse (4412344420301), we get a palindrome (14714788741741).

The spelling of 10302444321440 in words is "ten trillion, three hundred two billion, four hundred forty-four million, three hundred twenty-one thousand, four hundred forty".