1383480933120 has 2160 divisors, whose sum is σ = 6216983388000. Its totient is φ = 290795028480.

The previous prime is 1383480933101. The next prime is 1383480933139. The reversal of 1383480933120 is 213390843831.

1383480933120 is a `hidden beast` number, since 1 + 3 + 83 + 480 + 93 + 3 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1383480933101) and next prime (1383480933139).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2772506631 + ... + 2772507129.

It is an arithmetic number, because the mean of its divisors is an integer number (2878233050).

Almost surely, 2^{1383480933120} is an apocalyptic number.

1383480933120 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 1383480933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108491694000).

1383480933120 is an abundant number, since it is smaller than the sum of its proper divisors (4833502454880).

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

1383480933120 is a wasteful number, since it uses less digits than its factorization.

1383480933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1383480933120 in words is "one trillion, three hundred eighty-three billion, four hundred eighty million, nine hundred thirty-three thousand, one hundred twenty".