1387941506952 has 768 divisors, whose sum is σ = 5065175808000. Its totient is φ = 305848811520.

The previous prime is 1387941506923. The next prime is 1387941506983. The reversal of 1387941506952 is 2596051497831.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 298543924 + ... + 298548572.

It is an arithmetic number, because the mean of its divisors is an integer number (6595281000).

It is a 1-persistent number, because it is pandigital, but 2⋅1387941506952 = 2775883013904 is not.

Almost surely, 2^{1387941506952} is an apocalyptic number.

1387941506952 is a gapful number since it is divisible by the number (12) 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 1387941506952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532587904000).

1387941506952 is an abundant number, since it is smaller than the sum of its proper divisors (3677234301048).

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

1387941506952 is a wasteful number, since it uses less digits than its factorization.

1387941506952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 1387941506952 in words is "one trillion, three hundred eighty-seven billion, nine hundred forty-one million, five hundred six thousand, nine hundred fifty-two".