290790145374820 has 288 divisors, whose sum is σ = 760280521109760. Its totient is φ = 91474005841920.

The previous prime is 290790145374763. The next prime is 290790145374829. The reversal of 290790145374820 is 28473541097092.

It is not an unprimeable number, because it can be changed into a prime (290790145374829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21239504175 + ... + 21239517865.

It is an arithmetic number, because the mean of its divisors is an integer number (2639862920520).

Almost surely, 2^{290790145374820} is an apocalyptic number.

290790145374820 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 290790145374820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380140260554880).

290790145374820 is an abundant number, since it is smaller than the sum of its proper divisors (469490375734940).

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

290790145374820 is a wasteful number, since it uses less digits than its factorization.

290790145374820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19095 (or 19080 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 290790145374820 in words is "two hundred ninety trillion, seven hundred ninety billion, one hundred forty-five million, three hundred seventy-four thousand, eight hundred twenty".