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41868361920 = 2635711331151
BaseRepresentation
bin100110111111100011…
…001000000011000000
311000001212201011020010
4212333203020003000
51141221300040140
631122320144520
73011352130050
oct467743100300
9130055634203
1041868361920
1116835665000
128145768140
133c43189668
14205279b560
151150a45880
hex9bf8c80c0

41868361920 has 896 divisors, whose sum is σ = 173635928064. Its totient is φ = 8363520000.

The previous prime is 41868361891. The next prime is 41868361933. The reversal of 41868361920 is 2916386814.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41868361920.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 277273845 + ... + 277273995.

Almost surely, 241868361920 is an apocalyptic number.

41868361920 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 41868361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86817964032).

41868361920 is an abundant number, since it is smaller than the sum of its proper divisors (131767566144).

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

41868361920 is a wasteful number, since it uses less digits than its factorization.

41868361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 41868361920 in words is "forty-one billion, eight hundred sixty-eight million, three hundred sixty-one thousand, nine hundred twenty".