10321299329424 has 640 divisors, whose sum is σ = 30829455360000. Its totient is φ = 2955335860224.

The previous prime is 10321299329413. The next prime is 10321299329449. The reversal of 10321299329424 is 42492399212301.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15805971082 + ... + 15805971734.

It is an arithmetic number, because the mean of its divisors is an integer number (48171024000).

Almost surely, 2^{10321299329424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10321299329424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15414727680000).

10321299329424 is an abundant number, since it is smaller than the sum of its proper divisors (20508156030576).

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

10321299329424 is a wasteful number, since it uses less digits than its factorization.

10321299329424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 10321299329424 in words is "ten trillion, three hundred twenty-one billion, two hundred ninety-nine million, three hundred twenty-nine thousand, four hundred twenty-four".