1305245341400 has 384 divisors, whose sum is σ = 4087073410560. Its totient is φ = 374381568000.

The previous prime is 1305245341357. The next prime is 1305245341459. The reversal of 1305245341400 is 41435425031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66256352 + ... + 66276048.

It is an arithmetic number, because the mean of its divisors is an integer number (10643420340).

Almost surely, 2^{1305245341400} is an apocalyptic number.

1305245341400 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 1305245341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043536705280).

1305245341400 is an abundant number, since it is smaller than the sum of its proper divisors (2781828069160).

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

1305245341400 is a wasteful number, since it uses less digits than its factorization.

1305245341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20075 (or 20066 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 1305245341400 in words is "one trillion, three hundred five billion, two hundred forty-five million, three hundred forty-one thousand, four hundred".