1366145301400 has 192 divisors, whose sum is σ = 3623566648320. Its totient is φ = 474146534400.

The previous prime is 1366145301341. The next prime is 1366145301407. The reversal of 1366145301400 is 41035416631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366145301407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23398644 + ... + 23456956.

It is an arithmetic number, because the mean of its divisors is an integer number (18872742960).

Almost surely, 2^{1366145301400} is an apocalyptic number.

1366145301400 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 1366145301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811783324160).

1366145301400 is an abundant number, since it is smaller than the sum of its proper divisors (2257421346920).

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

1366145301400 is a wasteful number, since it uses less digits than its factorization.

1366145301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58826 (or 58817 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 1366145301400 in words is "one trillion, three hundred sixty-six billion, one hundred forty-five million, three hundred one thousand, four hundred".