10320424000320 has 224 divisors, whose sum is σ = 37568046751488. Its totient is φ = 2351416983552.

The previous prime is 10320424000307. The next prime is 10320424000351. The reversal of 10320424000320 is 2300042402301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10320424000320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 349959 + ... + 4556678.

Almost surely, 2^{10320424000320} is an apocalyptic number.

10320424000320 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 10320424000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18784023375744).

10320424000320 is an abundant number, since it is smaller than the sum of its proper divisors (27247622751168).

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

10320424000320 is a wasteful number, since it uses less digits than its factorization.

10320424000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906977 (or 4906967 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10320424000320 its reverse (2300042402301), we get a palindrome (12620466402621).

The spelling of 10320424000320 in words is "ten trillion, three hundred twenty billion, four hundred twenty-four million, three hundred twenty", and thus it is an aban number.