1341392691600 has 1200 divisors, whose sum is σ = 5400508251600. Its totient is φ = 316593930240.

The previous prime is 1341392691553. The next prime is 1341392691601. The reversal of 1341392691600 is 61962931431.

1341392691600 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 39 + 2 + 6 + 9 + 1 + 600 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1314774116496 + 26618575104 = 1146636^2 + 163152^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (1341392691601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2357456116 + ... + 2357456684.

It is an arithmetic number, because the mean of its divisors is an integer number (4500423543).

Almost surely, 2^{1341392691600} is an apocalyptic number.

1341392691600 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 1341392691600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700254125800).

1341392691600 is an abundant number, since it is smaller than the sum of its proper divisors (4059115560000).

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

1341392691600 is a wasteful number, since it uses less digits than its factorization.

1341392691600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1341392691600 in words is "one trillion, three hundred forty-one billion, three hundred ninety-two million, six hundred ninety-one thousand, six hundred".