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41989570560 = 2173457113
BaseRepresentation
bin100111000110110001…
…100000000000000000
311000101022210012020000
4213012301200000000
51141443312224220
631142330120000
73014353314030
oct470661400000
9130338705200
1041989570560
1116898021933
12817a280000
133c62317752
14206490d8c0
15115b4d9390
hex9c6c60000

41989570560 has 720 divisors, whose sum is σ = 173568026016. Its totient is φ = 9512681472.

The previous prime is 41989570559. The next prime is 41989570573. The reversal of 41989570560 is 6507598914.

41989570560 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 9 + 5 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×419895705603 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41989570497 and 41989570506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371589064 + ... + 371589176.

Almost surely, 241989570560 is an apocalyptic number.

41989570560 is a gapful number since it is divisible by the number (40) 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 41989570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86784013008).

41989570560 is an abundant number, since it is smaller than the sum of its proper divisors (131578455456).

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

41989570560 is an frugal number, since it uses more digits than its factorization.

41989570560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 41989570560 in words is "forty-one billion, nine hundred eighty-nine million, five hundred seventy thousand, five hundred sixty".