1300705241400 has 960 divisors, whose sum is σ = 4986393350400. Its totient is φ = 312774359040.

The previous prime is 1300705241333. The next prime is 1300705241413. The reversal of 1300705241400 is 41425070031.

1300705241400 is a `hidden beast` number, since 1 + 30 + 0 + 70 + 524 + 1 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2215851907 + ... + 2215852493.

It is an arithmetic number, because the mean of its divisors is an integer number (5194159740).

Almost surely, 2^{1300705241400} is an apocalyptic number.

1300705241400 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 1300705241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493196675200).

1300705241400 is an abundant number, since it is smaller than the sum of its proper divisors (3685688109000).

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

1300705241400 is a wasteful number, since it uses less digits than its factorization.

1300705241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 1300705241400 in words is "one trillion, three hundred billion, seven hundred five million, two hundred forty-one thousand, four hundred".