1386090518400 has 864 divisors, whose sum is σ = 5826676845600. Its totient is φ = 312785141760.

The previous prime is 1386090518353. The next prime is 1386090518429. The reversal of 1386090518400 is 48150906831.

1386090518400 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 0 + 90 + 518 + 40 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 111478584 + ... + 111491016.

Almost surely, 2^{1386090518400} is an apocalyptic number.

1386090518400 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 1386090518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913338422800).

1386090518400 is an abundant number, since it is smaller than the sum of its proper divisors (4440586327200).

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

1386090518400 is a wasteful number, since it uses less digits than its factorization.

1386090518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12556 (or 12529 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1386090518400 in words is "one trillion, three hundred eighty-six billion, ninety million, five hundred eighteen thousand, four hundred".