10021304330400 has 288 divisors, whose sum is σ = 35930233317888. Its totient is φ = 2405819980800.

The previous prime is 10021304330383. The next prime is 10021304330467. The reversal of 10021304330400 is 403340312001.

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, 876507 + ... + 4561893.

It is an arithmetic number, because the mean of its divisors is an integer number (124757754576).

Almost surely, 2^{10021304330400} is an apocalyptic number.

10021304330400 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 10021304330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17965116658944).

10021304330400 is an abundant number, since it is smaller than the sum of its proper divisors (25908928987488).

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

10021304330400 is a wasteful number, since it uses less digits than its factorization.

10021304330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685524 (or 3685511 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10021304330400 its reverse (403340312001), we get a palindrome (10424644642401).

The spelling of 10021304330400 in words is "ten trillion, twenty-one billion, three hundred four million, three hundred thirty thousand, four hundred".