1385556480000 has 2340 divisors, whose sum is σ = 6370968187584. Its totient is φ = 283852800000.

The previous prime is 1385556479999. The next prime is 1385556480017. The reversal of 1385556480000 is 846555831.

1385556480000 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 5 + 564 + 80 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 19514879965 + ... + 19514880035.

Almost surely, 2^{1385556480000} is an apocalyptic number.

1385556480000 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 1385556480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185484093792).

1385556480000 is an abundant number, since it is smaller than the sum of its proper divisors (4985411707584).

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

1385556480000 is an equidigital number, since it uses as much as digits as its factorization.

1385556480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 1385556480000 in words is "one trillion, three hundred eighty-five billion, five hundred fifty-six million, four hundred eighty thousand".