1341788025600 has 1728 divisors, whose sum is σ = 5764806028800. Its totient is φ = 301916160000.

The previous prime is 1341788025587. The next prime is 1341788025637. The reversal of 1341788025600 is 65208871431.

1341788025600 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 7 + 8 + 80 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1914105250 + ... + 1914105950.

It is an arithmetic number, because the mean of its divisors is an integer number (3336114600).

Almost surely, 2^{1341788025600} is an apocalyptic number.

1341788025600 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 1341788025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882403014400).

1341788025600 is an abundant number, since it is smaller than the sum of its proper divisors (4423018003200).

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

1341788025600 is a wasteful number, since it uses less digits than its factorization.

1341788025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1341788025600 in words is "one trillion, three hundred forty-one billion, seven hundred eighty-eight million, twenty-five thousand, six hundred".