1387867364640 has 288 divisors, whose sum is σ = 4801160997360. Its totient is φ = 365048266752.

The previous prime is 1387867364621. The next prime is 1387867364647. The reversal of 1387867364640 is 464637687831.

1387867364640 is a `hidden beast` number, since 1 + 3 + 87 + 8 + 67 + 36 + 464 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 654603973776 + 733263390864 = 809076^2 + 856308^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1387867364647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30950556 + ... + 30995364.

Almost surely, 2^{1387867364640} is an apocalyptic number.

1387867364640 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 1387867364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400580498680).

1387867364640 is an abundant number, since it is smaller than the sum of its proper divisors (3413293632720).

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

1387867364640 is a wasteful number, since it uses less digits than its factorization.

1387867364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45124 (or 45113 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 1387867364640 in words is "one trillion, three hundred eighty-seven billion, eight hundred sixty-seven million, three hundred sixty-four thousand, six hundred forty".