10204422532400 has 120 divisors (see below), whose sum is σ = 25332535185408. Its totient is φ = 3946108320000.

The previous prime is 10204422532397. The next prime is 10204422532433. The reversal of 10204422532400 is 423522440201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11873195 + ... + 12703605.

Almost surely, 2^{10204422532400} is an apocalyptic number.

10204422532400 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 10204422532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12666267592704).

10204422532400 is an abundant number, since it is smaller than the sum of its proper divisors (15128112653008).

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

10204422532400 is a wasteful number, since it uses less digits than its factorization.

10204422532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831451 (or 831440 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 10204422532400 its reverse (423522440201), we get a palindrome (10627944972601).

The spelling of 10204422532400 in words is "ten trillion, two hundred four billion, four hundred twenty-two million, five hundred thirty-two thousand, four hundred".