10431414252900 has 243 divisors, whose sum is σ = 32922674085483. Its totient is φ = 2762616067200.

The previous prime is 10431414252871. The next prime is 10431414252901. The reversal of 10431414252900 is 925241413401.

The square root of 10431414252900 is 3229770.

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

10431414252900 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 141 + 425 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 615374353764 + 9816039899136 = 784458^2 + 3133056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10431414252901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19281726630 + ... + 19281727170.

Almost surely, 2^{10431414252900} is an apocalyptic number.

10431414252900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10431414252900 is the 3229770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10431414252900

10431414252900 is an abundant number, since it is smaller than the sum of its proper divisors (22491259832583).

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

10431414252900 is an equidigital number, since it uses as much as digits as its factorization.

10431414252900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 10431414252900 by its sum of digits (36), we get a square (375530913104400 = 19378620²).

10431414252900 divided by its sum of digits (36) gives a square (289761507025 = 538295²).

The spelling of 10431414252900 in words is "ten trillion, four hundred thirty-one billion, four hundred fourteen million, two hundred fifty-two thousand, nine hundred".