1388491513920 has 336 divisors, whose sum is σ = 5459449876608. Its totient is φ = 317290659840.

The previous prime is 1388491513883. The next prime is 1388491513961. The reversal of 1388491513920 is 293151948831.

It is a happy number.

1388491513920 is a `hidden beast` number, since 1 + 3 + 88 + 49 + 1 + 513 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 130651647 + ... + 130662273.

It is an arithmetic number, because the mean of its divisors is an integer number (16248362728).

Almost surely, 2^{1388491513920} is an apocalyptic number.

1388491513920 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 1388491513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729724938304).

1388491513920 is an abundant number, since it is smaller than the sum of its proper divisors (4070958362688).

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

1388491513920 is a wasteful number, since it uses less digits than its factorization.

1388491513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17138 (or 17125 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1388491513920 in words is "one trillion, three hundred eighty-eight billion, four hundred ninety-one million, five hundred thirteen thousand, nine hundred twenty".