1387636880400 has 405 divisors, whose sum is σ = 4994640146821. Its totient is φ = 356748887040.

The previous prime is 1387636880393. The next prime is 1387636880411. The reversal of 1387636880400 is 40886367831.

The square root of 1387636880400 is 1177980.

It is a perfect power (a square), and thus also a powerful number.

1387636880400 is a `hidden beast` number, since 1 + 38 + 76 + 3 + 68 + 80 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 51781733136 + 1335855147264 = 227556^2 + 1155792^2 .

It is a super-2 number, since 2×1387636880400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2049684862 + ... + 2049685538.

Almost surely, 2^{1387636880400} is an apocalyptic number.

1387636880400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1387636880400 is the 1177980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387636880400

1387636880400 is an abundant number, since it is smaller than the sum of its proper divisors (3607003266421).

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

1387636880400 is an equidigital number, since it uses as much as digits as its factorization.

1387636880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

It can be divided in two parts, 1387636 and 880400, that added together give a square (2268036 = 1506²).

The spelling of 1387636880400 in words is "one trillion, three hundred eighty-seven billion, six hundred thirty-six million, eight hundred eighty thousand, four hundred".