41984010000 has 225 divisors, whose sum is σ = 147039431539. Its totient is φ = 11179344000.

The previous prime is 41984009989. The next prime is 41984010011. The reversal of 41984010000 is 1048914.

The square root of 41984010000 is 204900.

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

It is an interprime number because it is at equal distance from previous prime (41984009989) and next prime (41984010011).

It can be written as a sum of positive squares in 2 ways, for example, as 3291546384 + 38692463616 = 57372^2 + 196704^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 61469659 + ... + 61470341.

Almost surely, 2^41984010000 is an apocalyptic number.

41984010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41984010000 is the 204900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41984010000

41984010000 is an abundant number, since it is smaller than the sum of its proper divisors (105055421539).

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

41984010000 is an frugal number, since it uses more digits than its factorization.

41984010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 41984010000 its reverse (1048914), we get a palindrome (41985058914).

The spelling of 41984010000 in words is "forty-one billion, nine hundred eighty-four million, ten thousand".