10416730324 has 96 divisors (see below), whose sum is σ = 25137536256. Its totient is φ = 3644974080.

The previous prime is 10416730321. The next prime is 10416730339. The reversal of 10416730324 is 42303761401.

It is a super-3 number, since 3×10416730324³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416730321) 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, 112992 + ... + 183304.

It is an arithmetic number, because the mean of its divisors is an integer number (261849336).

Almost surely, 2^10416730324 is an apocalyptic number.

10416730324 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 10416730324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568768128).

10416730324 is an abundant number, since it is smaller than the sum of its proper divisors (14720805932).

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

10416730324 is a wasteful number, since it uses less digits than its factorization.

10416730324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70385 (or 70383 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 10416730324 in words is "ten billion, four hundred sixteen million, seven hundred thirty thousand, three hundred twenty-four".