1384433565120 has 672 divisors, whose sum is σ = 5222284704000. Its totient is φ = 335405629440.

The previous prime is 1384433565107. The next prime is 1384433565167. The reversal of 1384433565120 is 215653344831.

1384433565120 is a `hidden beast` number, since 1 + 3 + 8 + 44 + 33 + 565 + 12 + 0 = 666.

It is a super-2 number, since 2×1384433565120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132362451 + ... + 132372909.

It is an arithmetic number, because the mean of its divisors is an integer number (7771257000).

Almost surely, 2^{1384433565120} is an apocalyptic number.

1384433565120 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 1384433565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611142352000).

1384433565120 is an abundant number, since it is smaller than the sum of its proper divisors (3837851138880).

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

1384433565120 is a wasteful number, since it uses less digits than its factorization.

1384433565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601 (or 10588 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1384433565120 in words is "one trillion, three hundred eighty-four billion, four hundred thirty-three million, five hundred sixty-five thousand, one hundred twenty".