1388890074240 has 320 divisors, whose sum is σ = 4975881930360. Its totient is φ = 369183080448.

The previous prime is 1388890074157. The next prime is 1388890074269. The reversal of 1388890074240 is 424700988831.

It is a happy number.

1388890074240 is a `hidden beast` number, since 138 + 8 + 89 + 0 + 0 + 7 + 424 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 233196273216 + 1155693801024 = 482904^2 + 1075032^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16183122 + ... + 16268718.

Almost surely, 2^{1388890074240} is an apocalyptic number.

1388890074240 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 1388890074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487940965180).

1388890074240 is an abundant number, since it is smaller than the sum of its proper divisors (3586991856120).

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

1388890074240 is an equidigital number, since it uses as much as digits as its factorization.

1388890074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85941 (or 85920 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1388890074240 in words is "one trillion, three hundred eighty-eight billion, eight hundred ninety million, seventy-four thousand, two hundred forty".