41890627584 has 405 divisors, whose sum is σ = 134312490039. Its totient is φ = 12575047680.

The previous prime is 41890627579. The next prime is 41890627613. The reversal of 41890627584 is 48572609814.

It is a happy number.

The square root of 41890627584 is 204672.

It is a perfect power (a square), and thus also a powerful number.

41890627584 is a `hidden beast` number, since 4 + 1 + 8 + 9 + 0 + 627 + 5 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27902361600 + 13988265984 = 167040^2 + 118272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41890627584.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1021722604 + ... + 1021722644.

Almost surely, 2^41890627584 is an apocalyptic number.

41890627584 is the 204672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41890627584

41890627584 is an abundant number, since it is smaller than the sum of its proper divisors (92421862455).

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

41890627584 is an equidigital number, since it uses as much as digits as its factorization.

41890627584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 41890627584 in words is "forty-one billion, eight hundred ninety million, six hundred twenty-seven thousand, five hundred eighty-four".