1384064003520 has 1568 divisors, whose sum is σ = 5649310089216. Its totient is φ = 319798886400.

The previous prime is 1384064003507. The next prime is 1384064003617. The reversal of 1384064003520 is 253004604831.

1384064003520 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 0 + 640 + 0 + 3 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10102656892 + ... + 10102657028.

Almost surely, 2^{1384064003520} is an apocalyptic number.

1384064003520 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 1384064003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824655044608).

1384064003520 is an abundant number, since it is smaller than the sum of its proper divisors (4265246085696).

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

1384064003520 is a wasteful number, since it uses less digits than its factorization.

1384064003520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1384064003520 in words is "one trillion, three hundred eighty-four billion, sixty-four million, three thousand, five hundred twenty".