1385900457984 has 720 divisors, whose sum is σ = 5058978392160. Its totient is φ = 372580024320.

The previous prime is 1385900457943. The next prime is 1385900458093. The reversal of 1385900457984 is 4897540095831.

1385900457984 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 90 + 0 + 457 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368490664 + ... + 368494424.

It is an arithmetic number, because the mean of its divisors is an integer number (7026358878).

Almost surely, 2^{1385900457984} is an apocalyptic number.

1385900457984 is a gapful number since it is divisible by the number (14) 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 1385900457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529489196080).

1385900457984 is an abundant number, since it is smaller than the sum of its proper divisors (3673077934176).

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

1385900457984 is an equidigital number, since it uses as much as digits as its factorization.

1385900457984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 1385900457984 in words is "one trillion, three hundred eighty-five billion, nine hundred million, four hundred fifty-seven thousand, nine hundred eighty-four".