1308728345400 has 384 divisors, whose sum is σ = 5318012006400. Its totient is φ = 289488038400.

The previous prime is 1308728345371. The next prime is 1308728345401. The reversal of 1308728345400 is 45438278031.

1308728345400 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 72 + 8 + 34 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1308728345401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613374 + ... + 1730226.

It is an arithmetic number, because the mean of its divisors is an integer number (13848989600).

Almost surely, 2^{1308728345400} is an apocalyptic number.

1308728345400 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 1308728345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659006003200).

1308728345400 is an abundant number, since it is smaller than the sum of its proper divisors (4009283661000).

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

1308728345400 is a wasteful number, since it uses less digits than its factorization.

1308728345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116916 (or 1116901 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1308728345400 in words is "one trillion, three hundred eight billion, seven hundred twenty-eight million, three hundred forty-five thousand, four hundred".