10321401400000 has 336 divisors, whose sum is σ = 25963416797472. Its totient is φ = 4070338560000.

The previous prime is 10321401399949. The next prime is 10321401400019. The reversal of 10321401400000 is 410412301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5955799134 + ... + 5955800866.

It is an arithmetic number, because the mean of its divisors is an integer number (77272073802).

Almost surely, 2^{10321401400000} is an apocalyptic number.

10321401400000 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 10321401400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981708398736).

10321401400000 is an abundant number, since it is smaller than the sum of its proper divisors (15642015397472).

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

10321401400000 is an frugal number, since it uses more digits than its factorization.

10321401400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10321401400000 its reverse (410412301), we get a palindrome (10321811812301).

The spelling of 10321401400000 in words is "ten trillion, three hundred twenty-one billion, four hundred one million, four hundred thousand".