10305464030484 has 192 divisors, whose sum is σ = 28549935267840. Its totient is φ = 2831150079360.

The previous prime is 10305464030399. The next prime is 10305464030497. The reversal of 10305464030484 is 48403046450301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1533776077 + ... + 1533782795.

It is an arithmetic number, because the mean of its divisors is an integer number (148697579520).

Almost surely, 2^{10305464030484} is an apocalyptic number.

10305464030484 is a gapful number since it is divisible by the number (14) 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 10305464030484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274967633920).

10305464030484 is an abundant number, since it is smaller than the sum of its proper divisors (18244471237356).

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

10305464030484 is a wasteful number, since it uses less digits than its factorization.

10305464030484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10458 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 10305464030484 in words is "ten trillion, three hundred five billion, four hundred sixty-four million, thirty thousand, four hundred eighty-four".