290439198720 has 960 divisors, whose sum is σ = 1149041013120. Its totient is φ = 69872025600.

The previous prime is 290439198713. The next prime is 290439198737. The reversal of 290439198720 is 27891934092.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 2217093055 + ... + 2217093185.

It is an arithmetic number, because the mean of its divisors is an integer number (1196917722).

Almost surely, 2^290439198720 is an apocalyptic number.

290439198720 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 290439198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574520506560).

290439198720 is an abundant number, since it is smaller than the sum of its proper divisors (858601814400).

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

290439198720 is an frugal number, since it uses more digits than its factorization.

290439198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 290439198720 in words is "two hundred ninety billion, four hundred thirty-nine million, one hundred ninety-eight thousand, seven hundred twenty".