1384174422400 has 1152 divisors, whose sum is σ = 4484798668800. Its totient is φ = 417263616000.

The previous prime is 1384174422373. The next prime is 1384174422401. The reversal of 1384174422400 is 42244714831.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384174422401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10899011137 + ... + 10899011263.

It is an arithmetic number, because the mean of its divisors is an integer number (3893054400).

Almost surely, 2^{1384174422400} is an apocalyptic number.

1384174422400 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 1384174422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242399334400).

1384174422400 is an abundant number, since it is smaller than the sum of its proper divisors (3100624246400).

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

1384174422400 is a wasteful number, since it uses less digits than its factorization.

1384174422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 1384174422400 in words is "one trillion, three hundred eighty-four billion, one hundred seventy-four million, four hundred twenty-two thousand, four hundred".