1383601766400 has 2304 divisors, whose sum is σ = 6389253561600. Its totient is φ = 278585671680.

The previous prime is 1383601766377. The next prime is 1383601766401. The reversal of 1383601766400 is 46671063831.

1383601766400 is a `hidden beast` number, since 1 + 38 + 3 + 601 + 7 + 6 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (1383601766401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16669900759 + ... + 16669900841.

It is an arithmetic number, because the mean of its divisors is an integer number (2773113525).

Almost surely, 2^{1383601766400} is an apocalyptic number.

1383601766400 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 1383601766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194626780800).

1383601766400 is an abundant number, since it is smaller than the sum of its proper divisors (5005651795200).

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

1383601766400 is a wasteful number, since it uses less digits than its factorization.

1383601766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1383601766400 in words is "one trillion, three hundred eighty-three billion, six hundred one million, seven hundred sixty-six thousand, four hundred".