1388520334080 has 1728 divisors, whose sum is σ = 5752867760640. Its totient is φ = 314302464000.

The previous prime is 1388520334073. The next prime is 1388520334081. The reversal of 1388520334080 is 804330258831.

1388520334080 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 520 + 3 + 3 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388520334081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13747726030 + ... + 13747726130.

It is an arithmetic number, because the mean of its divisors is an integer number (3329205880).

Almost surely, 2^{1388520334080} is an apocalyptic number.

1388520334080 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 1388520334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876433880320).

1388520334080 is an abundant number, since it is smaller than the sum of its proper divisors (4364347426560).

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

1388520334080 is a wasteful number, since it uses less digits than its factorization.

1388520334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1388520334080 in words is "one trillion, three hundred eighty-eight billion, five hundred twenty million, three hundred thirty-four thousand, eighty".