1387605408000 has 576 divisors, whose sum is σ = 5326763420160. Its totient is φ = 313589760000.

The previous prime is 1387605407957. The next prime is 1387605408017. The reversal of 1387605408000 is 8045067831.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59796400 + ... + 59819600.

It is an arithmetic number, because the mean of its divisors is an integer number (9247853160).

Almost surely, 2^{1387605408000} is an apocalyptic number.

1387605408000 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 1387605408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663381710080).

1387605408000 is an abundant number, since it is smaller than the sum of its proper divisors (3939158012160).

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

1387605408000 is an equidigital number, since it uses as much as digits as its factorization.

1387605408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23331 (or 23307 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 1387605408000 in words is "one trillion, three hundred eighty-seven billion, six hundred five million, four hundred eight thousand".