1386073866240 has 1800 divisors, whose sum is σ = 6013449645840. Its totient is φ = 305892163584.

The previous prime is 1386073866193. The next prime is 1386073866257. The reversal of 1386073866240 is 426683706831.

1386073866240 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 0 + 7 + 3 + 8 + 6 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47795650546 + ... + 47795650574.

Almost surely, 2^{1386073866240} is an apocalyptic number.

1386073866240 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 1386073866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006724822920).

1386073866240 is an abundant number, since it is smaller than the sum of its proper divisors (4627375779600).

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

1386073866240 is an frugal number, since it uses more digits than its factorization.

1386073866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1386073866240 in words is "one trillion, three hundred eighty-six billion, seventy-three million, eight hundred sixty-six thousand, two hundred forty".