10023366040900 has 135 divisors (see below), whose sum is σ = 22985276445159. Its totient is φ = 3793997136960.

The previous prime is 10023366040871. The next prime is 10023366040903. The reversal of 10023366040900 is 904066332001.

It is a happy number.

The square root of 10023366040900 is 3165970.

It is a perfect power (a square), and thus also a powerful number.

10023366040900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 545538823236 + 9477827217664 = 738606^2 + 3078608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10023366040903) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11429151262 + ... + 11429152138.

Almost surely, 2^{10023366040900} is an apocalyptic number.

10023366040900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10023366040900 is the 3165970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023366040900

10023366040900 is an abundant number, since it is smaller than the sum of its proper divisors (12961910404259).

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

10023366040900 is an frugal number, since it uses more digits than its factorization.

10023366040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 10023366040900 in words is "ten trillion, twenty-three billion, three hundred sixty-six million, forty thousand, nine hundred".