10230301411440 has 320 divisors, whose sum is σ = 34717077964800. Its totient is φ = 2471475732480.

The previous prime is 10230301411427. The next prime is 10230301411453. The reversal of 10230301411440 is 4411410303201.

It is an interprime number because it is at equal distance from previous prime (10230301411427) and next prime (10230301411453).

It is a super-2 number, since 2×10230301411440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10230301411440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2785269444 + ... + 2785273116.

It is an arithmetic number, because the mean of its divisors is an integer number (108490868640).

Almost surely, 2^{10230301411440} is an apocalyptic number.

10230301411440 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 10230301411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358538982400).

10230301411440 is an abundant number, since it is smaller than the sum of its proper divisors (24486776553360).

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

10230301411440 is a wasteful number, since it uses less digits than its factorization.

10230301411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10230301411440 its reverse (4411410303201), we get a palindrome (14641711714641).

The spelling of 10230301411440 in words is "ten trillion, two hundred thirty billion, three hundred one million, four hundred eleven thousand, four hundred forty".