290721400849152 has 1296 divisors, whose sum is σ = 1078353458058240. Its totient is φ = 74632225554432.

The previous prime is 290721400849133. The next prime is 290721400849163. The reversal of 290721400849152 is 251948004127092.

290721400849152 is a `hidden beast` number, since 2 + 9 + 0 + 7 + 2 + 1 + 400 + 84 + 9 + 152 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9878723974 + ... + 9878753402.

It is an arithmetic number, because the mean of its divisors is an integer number (832062853440).

Almost surely, 2^{290721400849152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290721400849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539176729029120).

290721400849152 is an abundant number, since it is smaller than the sum of its proper divisors (787632057209088).

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

290721400849152 is a wasteful number, since it uses less digits than its factorization.

290721400849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29658 (or 29634 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 290721400849152 in words is "two hundred ninety trillion, seven hundred twenty-one billion, four hundred million, eight hundred forty-nine thousand, one hundred fifty-two".