1305123456400 has 75 divisors (see below), whose sum is σ = 3148733722081. Its totient is φ = 519865075520.

The previous prime is 1305123456383. The next prime is 1305123456407. The reversal of 1305123456400 is 46543215031.

The square root of 1305123456400 is 1142420.

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

It can be written as a sum of positive squares in only one way, i.e., 469844444304 + 835279012096 = 685452^2 + 913936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1305123456407) 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 14 ways as a sum of consecutive naturals, for example, 5460767481 + ... + 5460767719.

Almost surely, 2^{1305123456400} is an apocalyptic number.

1305123456400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1305123456400 is the 1142420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305123456400

1305123456400 is an abundant number, since it is smaller than the sum of its proper divisors (1843610265681).

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

1305123456400 is an frugal number, since it uses more digits than its factorization.

1305123456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 1305123456400 in words is "one trillion, three hundred five billion, one hundred twenty-three million, four hundred fifty-six thousand, four hundred".