1387907413248 has 288 divisors, whose sum is σ = 4296010521600. Its totient is φ = 394568368128.

The previous prime is 1387907413247. The next prime is 1387907413259. The reversal of 1387907413248 is 8423147097831.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387907413247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5583843 + ... + 5827101.

It is an arithmetic number, because the mean of its divisors is an integer number (14916703200).

Almost surely, 2^{1387907413248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387907413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148005260800).

1387907413248 is an abundant number, since it is smaller than the sum of its proper divisors (2908103108352).

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

1387907413248 is a wasteful number, since it uses less digits than its factorization.

1387907413248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243337 (or 243323 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 1387907413248 in words is "one trillion, three hundred eighty-seven billion, nine hundred seven million, four hundred thirteen thousand, two hundred forty-eight".