290381414400000 has 5184 divisors, whose sum is σ = 1394511505551360. Its totient is φ = 58392576000000.

The previous prime is 290381414399929. The next prime is 290381414400001. The reversal of 290381414400000 is 4414183092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290381414400001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9367142399985 + ... + 9367142400015.

It is an arithmetic number, because the mean of its divisors is an integer number (269002991040).

Almost surely, 2^{290381414400000} is an apocalyptic number.

290381414400000 is a gapful number since it is divisible by the number (20) 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 290381414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697255752775680).

290381414400000 is an abundant number, since it is smaller than the sum of its proper divisors (1104130091151360).

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

290381414400000 is an frugal number, since it uses more digits than its factorization.

290381414400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 290381414400000 its reverse (4414183092), we get a palindrome (290385828583092).

The spelling of 290381414400000 in words is "two hundred ninety trillion, three hundred eighty-one billion, four hundred fourteen million, four hundred thousand".