1394833814400 has 768 divisors, whose sum is σ = 5190277800960. Its totient is φ = 326905528320.

The previous prime is 1394833814393. The next prime is 1394833814401. The reversal of 1394833814400 is 44183384931.

It is a super-2 number, since 2×1394833814400² (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 1394833814400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1394833814401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217023987 + ... + 217030413.

It is an arithmetic number, because the mean of its divisors is an integer number (6758174220).

Almost surely, 2^{1394833814400} is an apocalyptic number.

1394833814400 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 1394833814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595138900480).

1394833814400 is an abundant number, since it is smaller than the sum of its proper divisors (3795443986560).

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

1394833814400 is a wasteful number, since it uses less digits than its factorization.

1394833814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 1394833814400 in words is "one trillion, three hundred ninety-four billion, eight hundred thirty-three million, eight hundred fourteen thousand, four hundred".