1384141825920 has 1024 divisors, whose sum is σ = 5444477337600. Its totient is φ = 292316774400.

The previous prime is 1384141825897. The next prime is 1384141825931. The reversal of 1384141825920 is 295281414831.

It is a super-2 number, since 2×1384141825920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1384141825920.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1172007730 + ... + 1172008910.

It is an arithmetic number, because the mean of its divisors is an integer number (5316872400).

Almost surely, 2^{1384141825920} is an apocalyptic number.

1384141825920 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 1384141825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722238668800).

1384141825920 is an abundant number, since it is smaller than the sum of its proper divisors (4060335511680).

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

1384141825920 is a wasteful number, since it uses less digits than its factorization.

1384141825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 1384141825920 in words is "one trillion, three hundred eighty-four billion, one hundred forty-one million, eight hundred twenty-five thousand, nine hundred twenty".