1387727510400 has 3456 divisors, whose sum is σ = 6735464736000. Its totient is φ = 281652940800.

The previous prime is 1387727510381. The next prime is 1387727510461. The reversal of 1387727510400 is 40157277831.

1387727510400 is a `hidden beast` number, since 1 + 3 + 8 + 77 + 27 + 510 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 32272732779 + ... + 32272732821.

Almost surely, 2^{1387727510400} is an apocalyptic number.

1387727510400 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 1387727510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367732368000).

1387727510400 is an abundant number, since it is smaller than the sum of its proper divisors (5347737225600).

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

1387727510400 is an equidigital number, since it uses as much as digits as its factorization.

1387727510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 1387727510400 in words is "one trillion, three hundred eighty-seven billion, seven hundred twenty-seven million, five hundred ten thousand, four hundred".