10324795132416 has 320 divisors, whose sum is σ = 28856653056000. Its totient is φ = 3274257186816.

The previous prime is 10324795132403. The next prime is 10324795132427. The reversal of 10324795132416 is 61423159742301.

It is a super-2 number, since 2×10324795132416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7380124485 + ... + 7380125883.

It is an arithmetic number, because the mean of its divisors is an integer number (90177040800).

Almost surely, 2^{10324795132416} is an apocalyptic number.

10324795132416 is a gapful number since it is divisible by the number (16) 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 10324795132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428326528000).

10324795132416 is an abundant number, since it is smaller than the sum of its proper divisors (18531857923584).

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

10324795132416 is a wasteful number, since it uses less digits than its factorization.

10324795132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 10324795132416 in words is "ten trillion, three hundred twenty-four billion, seven hundred ninety-five million, one hundred thirty-two thousand, four hundred sixteen".