1383774289920 has 1056 divisors, whose sum is σ = 5527621592064. Its totient is φ = 317089382400.

The previous prime is 1383774289883. The next prime is 1383774289957. The reversal of 1383774289920 is 299824773831.

1383774289920 is a `hidden beast` number, since 1 + 38 + 3 + 77 + 428 + 99 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1383774289883) and next prime (1383774289957).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32180797419 + ... + 32180797461.

It is an arithmetic number, because the mean of its divisors is an integer number (5234490144).

Almost surely, 2^{1383774289920} is an apocalyptic number.

1383774289920 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 1383774289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763810796032).

1383774289920 is an abundant number, since it is smaller than the sum of its proper divisors (4143847302144).

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

1383774289920 is an frugal number, since it uses more digits than its factorization.

1383774289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1383774289920 in words is "one trillion, three hundred eighty-three billion, seven hundred seventy-four million, two hundred eighty-nine thousand, nine hundred twenty".