320021030010000 has 400 divisors, whose sum is σ = 1135860114014208. Its totient is φ = 76969972800000.

The previous prime is 320021030009969. The next prime is 320021030010007. The reversal of 320021030010000 is 10030120023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×320021030010000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (320021030010007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38092045 + ... + 45727955.

Almost surely, 2^{320021030010000} is an apocalyptic number.

320021030010000 is a gapful number since it is divisible by the number (30) 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 320021030010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567930057007104).

320021030010000 is an abundant number, since it is smaller than the sum of its proper divisors (815839084004208).

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

320021030010000 is a wasteful number, since it uses less digits than its factorization.

320021030010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7636080 (or 7636059 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 320021030010000 its reverse (10030120023), we get a palindrome (320031060130023).

The spelling of 320021030010000 in words is "three hundred twenty trillion, twenty-one billion, thirty million, ten thousand".