1793381990400 has 3072 divisors, whose sum is σ = 8955876787200. Its totient is φ = 343985356800.

The previous prime is 1793381990377. The next prime is 1793381990429. The reversal of 1793381990400 is 40991833971.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 13! ⋅ 4! ⋅ 3! ⋅ 2!.

1793381990400 is a `hidden beast` number, since 1 + 79 + 3 + 3 + 81 + 9 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137952460794 + ... + 137952460806.

It is an arithmetic number, because the mean of its divisors is an integer number (2915324475).

Almost surely, 2^{1793381990400} is an apocalyptic number.

1793381990400 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 1793381990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477938393600).

1793381990400 is an abundant number, since it is smaller than the sum of its proper divisors (7162494796800).

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

1793381990400 is an frugal number, since it uses more digits than its factorization.

1793381990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1793381990400 in words is "one trillion, seven hundred ninety-three billion, three hundred eighty-one million, nine hundred ninety thousand, four hundred".