10455328240900 has 81 divisors (see below), whose sum is σ = 22984503833151. Its totient is φ = 4128184082880.

The previous prime is 10455328240849. The next prime is 10455328240901. The reversal of 10455328240900 is 904282355401.

The square root of 10455328240900 is 3233470.

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

It can be written as a sum of positive squares in 4 ways, for example, as 533533828356 + 9921794412544 = 730434^2 + 3149888^2 .

It is a super-2 number, since 2×10455328240900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10455328240901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2554439254 + ... + 2554443346.

Almost surely, 2^{10455328240900} is an apocalyptic number.

10455328240900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10455328240900 is the 3233470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10455328240900

10455328240900 is an abundant number, since it is smaller than the sum of its proper divisors (12529175592251).

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

10455328240900 is an frugal number, since it uses more digits than its factorization.

10455328240900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 10455328240900 in words is "ten trillion, four hundred fifty-five billion, three hundred twenty-eight million, two hundred forty thousand, nine hundred".