1383426668800 has 432 divisors, whose sum is σ = 3918589944192. Its totient is φ = 478638899200.

The previous prime is 1383426668791. The next prime is 1383426668801. The reversal of 1383426668800 is 88666243831.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (1383426668801) 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, 318980232 + ... + 318984568.

It is an arithmetic number, because the mean of its divisors is an integer number (9070810056).

Almost surely, 2^{1383426668800} is an apocalyptic number.

1383426668800 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 1383426668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959294972096).

1383426668800 is an abundant number, since it is smaller than the sum of its proper divisors (2535163275392).

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

1383426668800 is a wasteful number, since it uses less digits than its factorization.

1383426668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 1383426668800 in words is "one trillion, three hundred eighty-three billion, four hundred twenty-six million, six hundred sixty-eight thousand, eight hundred".